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Finding the Fourth Proportional to 478,809.60, 718,385.76 and 205,140.96

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Solution

The fourth proportional to 478,809.60, 718,385.76 and 205,140.96 is: 307,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,809.60 : 718,385.76 = 205,140.96 : x
  2. Step 2: Convert to fraction form
    478,809.60/718,385.76 = 205,140.96/x
  3. Step 3: Cross multiply
    478,809.60x = 718,385.76 × 205,140.96
  4. Step 4: Simplify right side
    478,809.60x = 147,370,344,456.73
  5. Step 5: Solve for x
    x = 147,370,344,456.73/478,809.60
  6. Step 6: Final answer
    x = 307,784.86

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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.