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Finding the Fourth Proportional to 427,737.60, 590,468.40 and 255,715.20

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Solution

The fourth proportional to 427,737.60, 590,468.40 and 255,715.20 is: 353,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,737.60 : 590,468.40 = 255,715.20 : x
  2. Step 2: Convert to fraction form
    427,737.60/590,468.40 = 255,715.20/x
  3. Step 3: Cross multiply
    427,737.60x = 590,468.40 × 255,715.20
  4. Step 4: Simplify right side
    427,737.60x = 150,991,744,999.68
  5. Step 5: Solve for x
    x = 150,991,744,999.68/427,737.60
  6. Step 6: Final answer
    x = 353,000.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.