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Finding the Fourth Proportional to 509,737.96, 703,441.12 and 280,310.04

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Solution

The fourth proportional to 509,737.96, 703,441.12 and 280,310.04 is: 386,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,737.96 : 703,441.12 = 280,310.04 : x
  2. Step 2: Convert to fraction form
    509,737.96/703,441.12 = 280,310.04/x
  3. Step 3: Cross multiply
    509,737.96x = 703,441.12 × 280,310.04
  4. Step 4: Simplify right side
    509,737.96x = 197,181,608,484.85
  5. Step 5: Solve for x
    x = 197,181,608,484.85/509,737.96
  6. Step 6: Final answer
    x = 386,829.36

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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.