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Finding the Fourth Proportional to 390,180.87, 585,318.17 and 137,409.11

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Solution

The fourth proportional to 390,180.87, 585,318.17 and 137,409.11 is: 206,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,180.87 : 585,318.17 = 137,409.11 : x
  2. Step 2: Convert to fraction form
    390,180.87/585,318.17 = 137,409.11/x
  3. Step 3: Cross multiply
    390,180.87x = 585,318.17 × 137,409.11
  4. Step 4: Simplify right side
    390,180.87x = 80,428,048,806.53
  5. Step 5: Solve for x
    x = 80,428,048,806.53/390,180.87
  6. Step 6: Final answer
    x = 206,130.17

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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.