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Finding the Fourth Proportional to 520,088.30, 780,132.45 and 270,737.90

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Solution

The fourth proportional to 520,088.30, 780,132.45 and 270,737.90 is: 406,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,088.30 : 780,132.45 = 270,737.90 : x
  2. Step 2: Convert to fraction form
    520,088.30/780,132.45 = 270,737.90/x
  3. Step 3: Cross multiply
    520,088.30x = 780,132.45 × 270,737.90
  4. Step 4: Simplify right side
    520,088.30x = 211,211,421,234.86
  5. Step 5: Solve for x
    x = 211,211,421,234.86/520,088.30
  6. Step 6: Final answer
    x = 406,106.85

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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.