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Finding the Fourth Proportional to 292,127.31, 438,186.40 and 149,890.50

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Solution

The fourth proportional to 292,127.31, 438,186.40 and 149,890.50 is: 224,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,127.31 : 438,186.40 = 149,890.50 : x
  2. Step 2: Convert to fraction form
    292,127.31/438,186.40 = 149,890.50/x
  3. Step 3: Cross multiply
    292,127.31x = 438,186.40 × 149,890.50
  4. Step 4: Simplify right side
    292,127.31x = 65,679,978,214.47
  5. Step 5: Solve for x
    x = 65,679,978,214.47/292,127.31
  6. Step 6: Final answer
    x = 224,833.41

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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.