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Finding the Fourth Proportional to 288,046.80, 432,070.20 and 268,363.80

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Solution

The fourth proportional to 288,046.80, 432,070.20 and 268,363.80 is: 402,545.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,046.80 : 432,070.20 = 268,363.80 : x
  2. Step 2: Convert to fraction form
    288,046.80/432,070.20 = 268,363.80/x
  3. Step 3: Cross multiply
    288,046.80x = 432,070.20 × 268,363.80
  4. Step 4: Simplify right side
    288,046.80x = 115,952,000,738.76
  5. Step 5: Solve for x
    x = 115,952,000,738.76/288,046.80
  6. Step 6: Final answer
    x = 402,545.70

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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.