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Finding the Fourth Proportional to 488,217.40, 732,758.10 and 288,287.80

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Solution

The fourth proportional to 488,217.40, 732,758.10 and 288,287.80 is: 432,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,217.40 : 732,758.10 = 288,287.80 : x
  2. Step 2: Convert to fraction form
    488,217.40/732,758.10 = 288,287.80/x
  3. Step 3: Cross multiply
    488,217.40x = 732,758.10 × 288,287.80
  4. Step 4: Simplify right side
    488,217.40x = 211,245,220,581.18
  5. Step 5: Solve for x
    x = 211,245,220,581.18/488,217.40
  6. Step 6: Final answer
    x = 432,686.79

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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.