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Finding the Fourth Proportional to 510,820.64, 766,229.52 and 230,009.12

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Solution

The fourth proportional to 510,820.64, 766,229.52 and 230,009.12 is: 345,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,820.64 : 766,229.52 = 230,009.12 : x
  2. Step 2: Convert to fraction form
    510,820.64/766,229.52 = 230,009.12/x
  3. Step 3: Cross multiply
    510,820.64x = 766,229.52 × 230,009.12
  4. Step 4: Simplify right side
    510,820.64x = 176,239,777,613.22
  5. Step 5: Solve for x
    x = 176,239,777,613.22/510,820.64
  6. Step 6: Final answer
    x = 345,013.03

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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.