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Finding the Fourth Proportional to 390,498.71, 585,749.53 and 137,641.17

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Solution

The fourth proportional to 390,498.71, 585,749.53 and 137,641.17 is: 206,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498.71 : 585,749.53 = 137,641.17 : x
  2. Step 2: Convert to fraction form
    390,498.71/585,749.53 = 137,641.17/x
  3. Step 3: Cross multiply
    390,498.71x = 585,749.53 × 137,641.17
  4. Step 4: Simplify right side
    390,498.71x = 80,623,252,230.53
  5. Step 5: Solve for x
    x = 80,623,252,230.53/390,498.71
  6. Step 6: Final answer
    x = 206,462.28

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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.