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Finding the Fourth Proportional to 611,002.60, 916,722.60 and 256,125.40

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Solution

The fourth proportional to 611,002.60, 916,722.60 and 256,125.40 is: 384,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,002.60 : 916,722.60 = 256,125.40 : x
  2. Step 2: Convert to fraction form
    611,002.60/916,722.60 = 256,125.40/x
  3. Step 3: Cross multiply
    611,002.60x = 916,722.60 × 256,125.40
  4. Step 4: Simplify right side
    611,002.60x = 234,795,942,614.04
  5. Step 5: Solve for x
    x = 234,795,942,614.04/611,002.60
  6. Step 6: Final answer
    x = 384,279.78

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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.