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Finding the Fourth Proportional to 292,301.70, 438,452.55 and 81,975.30

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Solution

The fourth proportional to 292,301.70, 438,452.55 and 81,975.30 is: 122,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,301.70 : 438,452.55 = 81,975.30 : x
  2. Step 2: Convert to fraction form
    292,301.70/438,452.55 = 81,975.30/x
  3. Step 3: Cross multiply
    292,301.70x = 438,452.55 × 81,975.30
  4. Step 4: Simplify right side
    292,301.70x = 35,942,279,322.02
  5. Step 5: Solve for x
    x = 35,942,279,322.02/292,301.70
  6. Step 6: Final answer
    x = 122,962.95

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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.