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Finding the Fourth Proportional to 278,937.60, 418,406.40 and 268,051.20

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Solution

The fourth proportional to 278,937.60, 418,406.40 and 268,051.20 is: 402,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,937.60 : 418,406.40 = 268,051.20 : x
  2. Step 2: Convert to fraction form
    278,937.60/418,406.40 = 268,051.20/x
  3. Step 3: Cross multiply
    278,937.60x = 418,406.40 × 268,051.20
  4. Step 4: Simplify right side
    278,937.60x = 112,154,337,607.68
  5. Step 5: Solve for x
    x = 112,154,337,607.68/278,937.60
  6. Step 6: Final answer
    x = 402,076.80

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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.