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Finding the Fourth Proportional to 534,863.86, 800,487.42 and 520,470.76

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Solution

The fourth proportional to 534,863.86, 800,487.42 and 520,470.76 is: 778,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,863.86 : 800,487.42 = 520,470.76 : x
  2. Step 2: Convert to fraction form
    534,863.86/800,487.42 = 520,470.76/x
  3. Step 3: Cross multiply
    534,863.86x = 800,487.42 × 520,470.76
  4. Step 4: Simplify right side
    534,863.86x = 416,630,295,857.84
  5. Step 5: Solve for x
    x = 416,630,295,857.84/534,863.86
  6. Step 6: Final answer
    x = 778,946.43

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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.