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Finding the Fourth Proportional to 491,121.60, 676,821.60 and 430,296

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Solution

The fourth proportional to 491,121.60, 676,821.60 and 430,296 is: 592,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,121.60 : 676,821.60 = 430,296 : x
  2. Step 2: Convert to fraction form
    491,121.60/676,821.60 = 430,296/x
  3. Step 3: Cross multiply
    491,121.60x = 676,821.60 × 430,296
  4. Step 4: Simplify right side
    491,121.60x = 291,233,627,193.60
  5. Step 5: Solve for x
    x = 291,233,627,193.60/491,121.60
  6. Step 6: Final answer
    x = 592,996.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.