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Finding the Fourth Proportional to 488,000.30, 731,978.88 and 133,014.30

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Solution

The fourth proportional to 488,000.30, 731,978.88 and 133,014.30 is: 199,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,000.30 : 731,978.88 = 133,014.30 : x
  2. Step 2: Convert to fraction form
    488,000.30/731,978.88 = 133,014.30/x
  3. Step 3: Cross multiply
    488,000.30x = 731,978.88 × 133,014.30
  4. Step 4: Simplify right side
    488,000.30x = 97,363,658,337.98
  5. Step 5: Solve for x
    x = 97,363,658,337.98/488,000.30
  6. Step 6: Final answer
    x = 199,515.57

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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.