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Finding the Fourth Proportional to 521,577.60, 782,884.80 and 255,638.40

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Solution

The fourth proportional to 521,577.60, 782,884.80 and 255,638.40 is: 383,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,577.60 : 782,884.80 = 255,638.40 : x
  2. Step 2: Convert to fraction form
    521,577.60/782,884.80 = 255,638.40/x
  3. Step 3: Cross multiply
    521,577.60x = 782,884.80 × 255,638.40
  4. Step 4: Simplify right side
    521,577.60x = 200,135,417,656.32
  5. Step 5: Solve for x
    x = 200,135,417,656.32/521,577.60
  6. Step 6: Final answer
    x = 383,711.68

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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.