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Finding the Fourth Proportional to 542,713.98, 748,981.32 and 301,006.74

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Solution

The fourth proportional to 542,713.98, 748,981.32 and 301,006.74 is: 415,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,713.98 : 748,981.32 = 301,006.74 : x
  2. Step 2: Convert to fraction form
    542,713.98/748,981.32 = 301,006.74/x
  3. Step 3: Cross multiply
    542,713.98x = 748,981.32 × 301,006.74
  4. Step 4: Simplify right side
    542,713.98x = 225,448,425,454.10
  5. Step 5: Solve for x
    x = 225,448,425,454.10/542,713.98
  6. Step 6: Final answer
    x = 415,409.28

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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.