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Finding the Fourth Proportional to 299,147.60, 411,983.88 and 292,615.76

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Solution

The fourth proportional to 299,147.60, 411,983.88 and 292,615.76 is: 402,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.60 : 411,983.88 = 292,615.76 : x
  2. Step 2: Convert to fraction form
    299,147.60/411,983.88 = 292,615.76/x
  3. Step 3: Cross multiply
    299,147.60x = 411,983.88 × 292,615.76
  4. Step 4: Simplify right side
    299,147.60x = 120,552,976,153.95
  5. Step 5: Solve for x
    x = 120,552,976,153.95/299,147.60
  6. Step 6: Final answer
    x = 402,988.28

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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.