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Finding the Fourth Proportional to 488,456.60, 731,648.10 and 405,512.60

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Solution

The fourth proportional to 488,456.60, 731,648.10 and 405,512.60 is: 607,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,456.60 : 731,648.10 = 405,512.60 : x
  2. Step 2: Convert to fraction form
    488,456.60/731,648.10 = 405,512.60/x
  3. Step 3: Cross multiply
    488,456.60x = 731,648.10 × 405,512.60
  4. Step 4: Simplify right side
    488,456.60x = 296,692,523,316.06
  5. Step 5: Solve for x
    x = 296,692,523,316.06/488,456.60
  6. Step 6: Final answer
    x = 607,408.16

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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.