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Finding the Fourth Proportional to 510,437, 765,597.17 and 136,489.16

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Solution

The fourth proportional to 510,437, 765,597.17 and 136,489.16 is: 204,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,437 : 765,597.17 = 136,489.16 : x
  2. Step 2: Convert to fraction form
    510,437/765,597.17 = 136,489.16/x
  3. Step 3: Cross multiply
    510,437x = 765,597.17 × 136,489.16
  4. Step 4: Simplify right side
    510,437x = 104,495,714,631.68
  5. Step 5: Solve for x
    x = 104,495,714,631.68/510,437
  6. Step 6: Final answer
    x = 204,718.14

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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.