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Finding the Fourth Proportional to 534,856.12, 800,475.80 and 520,463.02

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Solution

The fourth proportional to 534,856.12, 800,475.80 and 520,463.02 is: 778,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,856.12 : 800,475.80 = 520,463.02 : x
  2. Step 2: Convert to fraction form
    534,856.12/800,475.80 = 520,463.02/x
  3. Step 3: Cross multiply
    534,856.12x = 800,475.80 × 520,463.02
  4. Step 4: Simplify right side
    534,856.12x = 416,618,052,304.92
  5. Step 5: Solve for x
    x = 416,618,052,304.92/534,856.12
  6. Step 6: Final answer
    x = 778,934.81

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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.