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Finding the Fourth Proportional to 542,406.42, 748,499.13 and 297,386.01

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Solution

The fourth proportional to 542,406.42, 748,499.13 and 297,386.01 is: 410,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,406.42 : 748,499.13 = 297,386.01 : x
  2. Step 2: Convert to fraction form
    542,406.42/748,499.13 = 297,386.01/x
  3. Step 3: Cross multiply
    542,406.42x = 748,499.13 × 297,386.01
  4. Step 4: Simplify right side
    542,406.42x = 222,593,169,759.17
  5. Step 5: Solve for x
    x = 222,593,169,759.17/542,406.42
  6. Step 6: Final answer
    x = 410,380.78

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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.