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Finding the Fourth Proportional to 517,459.14, 776,134.17 and 138,418.16

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Solution

The fourth proportional to 517,459.14, 776,134.17 and 138,418.16 is: 207,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,459.14 : 776,134.17 = 138,418.16 : x
  2. Step 2: Convert to fraction form
    517,459.14/776,134.17 = 138,418.16/x
  3. Step 3: Cross multiply
    517,459.14x = 776,134.17 × 138,418.16
  4. Step 4: Simplify right side
    517,459.14x = 107,431,059,843.86
  5. Step 5: Solve for x
    x = 107,431,059,843.86/517,459.14
  6. Step 6: Final answer
    x = 207,612.64

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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.