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Finding the Fourth Proportional to 488,405.40, 732,608.10 and 133,455.30

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Solution

The fourth proportional to 488,405.40, 732,608.10 and 133,455.30 is: 200,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,405.40 : 732,608.10 = 133,455.30 : x
  2. Step 2: Convert to fraction form
    488,405.40/732,608.10 = 133,455.30/x
  3. Step 3: Cross multiply
    488,405.40x = 732,608.10 × 133,455.30
  4. Step 4: Simplify right side
    488,405.40x = 97,770,433,767.93
  5. Step 5: Solve for x
    x = 97,770,433,767.93/488,405.40
  6. Step 6: Final answer
    x = 200,182.95

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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.