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Finding the Fourth Proportional to 510,000.30, 765,000.45 and 177,576.30

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Solution

The fourth proportional to 510,000.30, 765,000.45 and 177,576.30 is: 266,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,000.30 : 765,000.45 = 177,576.30 : x
  2. Step 2: Convert to fraction form
    510,000.30/765,000.45 = 177,576.30/x
  3. Step 3: Cross multiply
    510,000.30x = 765,000.45 × 177,576.30
  4. Step 4: Simplify right side
    510,000.30x = 135,845,949,409.34
  5. Step 5: Solve for x
    x = 135,845,949,409.34/510,000.30
  6. Step 6: Final answer
    x = 266,364.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.