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Finding the Fourth Proportional to 390,286.97, 585,470.61 and 147,332.68

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Solution

The fourth proportional to 390,286.97, 585,470.61 and 147,332.68 is: 221,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,286.97 : 585,470.61 = 147,332.68 : x
  2. Step 2: Convert to fraction form
    390,286.97/585,470.61 = 147,332.68/x
  3. Step 3: Cross multiply
    390,286.97x = 585,470.61 × 147,332.68
  4. Step 4: Simplify right side
    390,286.97x = 86,258,952,568.86
  5. Step 5: Solve for x
    x = 86,258,952,568.86/390,286.97
  6. Step 6: Final answer
    x = 221,014.18

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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.