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Finding the Fourth Proportional to 488,064.90, 731,878.65 and 188,445.90

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Solution

The fourth proportional to 488,064.90, 731,878.65 and 188,445.90 is: 282,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,064.90 : 731,878.65 = 188,445.90 : x
  2. Step 2: Convert to fraction form
    488,064.90/731,878.65 = 188,445.90/x
  3. Step 3: Cross multiply
    488,064.90x = 731,878.65 × 188,445.90
  4. Step 4: Simplify right side
    488,064.90x = 137,919,530,890.04
  5. Step 5: Solve for x
    x = 137,919,530,890.04/488,064.90
  6. Step 6: Final answer
    x = 282,584.41

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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.