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Finding the Fourth Proportional to 510,012.64, 765,010.32 and 177,580

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Solution

The fourth proportional to 510,012.64, 765,010.32 and 177,580 is: 266,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,012.64 : 765,010.32 = 177,580 : x
  2. Step 2: Convert to fraction form
    510,012.64/765,010.32 = 177,580/x
  3. Step 3: Cross multiply
    510,012.64x = 765,010.32 × 177,580
  4. Step 4: Simplify right side
    510,012.64x = 135,850,532,625.60
  5. Step 5: Solve for x
    x = 135,850,532,625.60/510,012.64
  6. Step 6: Final answer
    x = 266,366.99

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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.