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Finding the Fourth Proportional to 520,737.94, 780,098.10 and 295,416.78

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Solution

The fourth proportional to 520,737.94, 780,098.10 and 295,416.78 is: 442,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,737.94 : 780,098.10 = 295,416.78 : x
  2. Step 2: Convert to fraction form
    520,737.94/780,098.10 = 295,416.78/x
  3. Step 3: Cross multiply
    520,737.94x = 780,098.10 × 295,416.78
  4. Step 4: Simplify right side
    520,737.94x = 230,454,068,786.12
  5. Step 5: Solve for x
    x = 230,454,068,786.12/520,737.94
  6. Step 6: Final answer
    x = 442,552.87

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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.