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Finding the Fourth Proportional to 488,132.70, 731,980.35 and 221,756.10

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Solution

The fourth proportional to 488,132.70, 731,980.35 and 221,756.10 is: 332,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,132.70 : 731,980.35 = 221,756.10 : x
  2. Step 2: Convert to fraction form
    488,132.70/731,980.35 = 221,756.10/x
  3. Step 3: Cross multiply
    488,132.70x = 731,980.35 × 221,756.10
  4. Step 4: Simplify right side
    488,132.70x = 162,321,107,692.64
  5. Step 5: Solve for x
    x = 162,321,107,692.64/488,132.70
  6. Step 6: Final answer
    x = 332,534.80

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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.