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Finding the Fourth Proportional to 517,908.72, 714,715.20 and 288,464.16

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Solution

The fourth proportional to 517,908.72, 714,715.20 and 288,464.16 is: 398,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,908.72 : 714,715.20 = 288,464.16 : x
  2. Step 2: Convert to fraction form
    517,908.72/714,715.20 = 288,464.16/x
  3. Step 3: Cross multiply
    517,908.72x = 714,715.20 × 288,464.16
  4. Step 4: Simplify right side
    517,908.72x = 206,169,719,807.23
  5. Step 5: Solve for x
    x = 206,169,719,807.23/517,908.72
  6. Step 6: Final answer
    x = 398,081.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.