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Finding the Fourth Proportional to 542,352, 748,367.19 and 300,634.50

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Solution

The fourth proportional to 542,352, 748,367.19 and 300,634.50 is: 414,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,352 : 748,367.19 = 300,634.50 : x
  2. Step 2: Convert to fraction form
    542,352/748,367.19 = 300,634.50/x
  3. Step 3: Cross multiply
    542,352x = 748,367.19 × 300,634.50
  4. Step 4: Simplify right side
    542,352x = 224,984,995,982.06
  5. Step 5: Solve for x
    x = 224,984,995,982.06/542,352
  6. Step 6: Final answer
    x = 414,832.06

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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.