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Finding the Fourth Proportional to 542,422.26, 812,714.81 and 328,543.83

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Solution

The fourth proportional to 542,422.26, 812,714.81 and 328,543.83 is: 492,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,422.26 : 812,714.81 = 328,543.83 : x
  2. Step 2: Convert to fraction form
    542,422.26/812,714.81 = 328,543.83/x
  3. Step 3: Cross multiply
    542,422.26x = 812,714.81 × 328,543.83
  4. Step 4: Simplify right side
    542,422.26x = 267,012,434,732.40
  5. Step 5: Solve for x
    x = 267,012,434,732.40/542,422.26
  6. Step 6: Final answer
    x = 492,259.36

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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.