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Finding the Fourth Proportional to 542,010.78, 812,854.14 and 162,830.10

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Solution

The fourth proportional to 542,010.78, 812,854.14 and 162,830.10 is: 244,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,010.78 : 812,854.14 = 162,830.10 : x
  2. Step 2: Convert to fraction form
    542,010.78/812,854.14 = 162,830.10/x
  3. Step 3: Cross multiply
    542,010.78x = 812,854.14 × 162,830.10
  4. Step 4: Simplify right side
    542,010.78x = 132,357,120,901.61
  5. Step 5: Solve for x
    x = 132,357,120,901.61/542,010.78
  6. Step 6: Final answer
    x = 244,196.47

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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.