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Finding the Fourth Proportional to 392,775.31, 542,030.28 and 223,009.43

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Solution

The fourth proportional to 392,775.31, 542,030.28 and 223,009.43 is: 307,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,775.31 : 542,030.28 = 223,009.43 : x
  2. Step 2: Convert to fraction form
    392,775.31/542,030.28 = 223,009.43/x
  3. Step 3: Cross multiply
    392,775.31x = 542,030.28 × 223,009.43
  4. Step 4: Simplify right side
    392,775.31x = 120,877,862,670.49
  5. Step 5: Solve for x
    x = 120,877,862,670.49/392,775.31
  6. Step 6: Final answer
    x = 307,753.21

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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.