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Finding the Fourth Proportional to 391,477.60, 586,957.20 and 142,127.20

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Solution

The fourth proportional to 391,477.60, 586,957.20 and 142,127.20 is: 213,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,477.60 : 586,957.20 = 142,127.20 : x
  2. Step 2: Convert to fraction form
    391,477.60/586,957.20 = 142,127.20/x
  3. Step 3: Cross multiply
    391,477.60x = 586,957.20 × 142,127.20
  4. Step 4: Simplify right side
    391,477.60x = 83,422,583,355.84
  5. Step 5: Solve for x
    x = 83,422,583,355.84/391,477.60
  6. Step 6: Final answer
    x = 213,096.70

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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.