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Finding the Fourth Proportional to 510,437.09, 765,597.32 and 136,489.25

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Solution

The fourth proportional to 510,437.09, 765,597.32 and 136,489.25 is: 204,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,437.09 : 765,597.32 = 136,489.25 : x
  2. Step 2: Convert to fraction form
    510,437.09/765,597.32 = 136,489.25/x
  3. Step 3: Cross multiply
    510,437.09x = 765,597.32 × 136,489.25
  4. Step 4: Simplify right side
    510,437.09x = 104,495,799,498.38
  5. Step 5: Solve for x
    x = 104,495,799,498.38/510,437.09
  6. Step 6: Final answer
    x = 204,718.27

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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.