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Finding the Fourth Proportional to 488,211.40, 732,749.10 and 288,281.80

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Solution

The fourth proportional to 488,211.40, 732,749.10 and 288,281.80 is: 432,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,211.40 : 732,749.10 = 288,281.80 : x
  2. Step 2: Convert to fraction form
    488,211.40/732,749.10 = 288,281.80/x
  3. Step 3: Cross multiply
    488,211.40x = 732,749.10 × 288,281.80
  4. Step 4: Simplify right side
    488,211.40x = 211,238,229,496.38
  5. Step 5: Solve for x
    x = 211,238,229,496.38/488,211.40
  6. Step 6: Final answer
    x = 432,677.79

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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.