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Finding the Fourth Proportional to 538,919,881.50, 743,719,122.42 and 316,062,298.50

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Solution

The fourth proportional to 538,919,881.50, 743,719,122.42 and 316,062,298.50 is: 436,171,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,919,881.50 : 743,719,122.42 = 316,062,298.50 : x
  2. Step 2: Convert to fraction form
    538,919,881.50/743,719,122.42 = 316,062,298.50/x
  3. Step 3: Cross multiply
    538,919,881.50x = 743,719,122.42 × 316,062,298.50
  4. Step 4: Simplify right side
    538,919,881.50x = 235,061,575,270,468,064
  5. Step 5: Solve for x
    x = 235,061,575,270,468,064/538,919,881.50
  6. Step 6: Final answer
    x = 436,171,652.48

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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.