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Finding the Fourth Proportional to 390,178.87, 585,315.17 and 137,407.11

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Solution

The fourth proportional to 390,178.87, 585,315.17 and 137,407.11 is: 206,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,178.87 : 585,315.17 = 137,407.11 : x
  2. Step 2: Convert to fraction form
    390,178.87/585,315.17 = 137,407.11/x
  3. Step 3: Cross multiply
    390,178.87x = 585,315.17 × 137,407.11
  4. Step 4: Simplify right side
    390,178.87x = 80,426,466,292.38
  5. Step 5: Solve for x
    x = 80,426,466,292.38/390,178.87
  6. Step 6: Final answer
    x = 206,127.17

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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.