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Finding the Fourth Proportional to 362,139.30, 542,820.15 and 137,412.90

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Solution

The fourth proportional to 362,139.30, 542,820.15 and 137,412.90 is: 205,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,139.30 : 542,820.15 = 137,412.90 : x
  2. Step 2: Convert to fraction form
    362,139.30/542,820.15 = 137,412.90/x
  3. Step 3: Cross multiply
    362,139.30x = 542,820.15 × 137,412.90
  4. Step 4: Simplify right side
    362,139.30x = 74,590,490,989.94
  5. Step 5: Solve for x
    x = 74,590,490,989.94/362,139.30
  6. Step 6: Final answer
    x = 205,971.82

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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.