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Finding the Fourth Proportional to 542,008.78, 812,851.14 and 162,828.10

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Solution

The fourth proportional to 542,008.78, 812,851.14 and 162,828.10 is: 244,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,008.78 : 812,851.14 = 162,828.10 : x
  2. Step 2: Convert to fraction form
    542,008.78/812,851.14 = 162,828.10/x
  3. Step 3: Cross multiply
    542,008.78x = 812,851.14 × 162,828.10
  4. Step 4: Simplify right side
    542,008.78x = 132,355,006,709.03
  5. Step 5: Solve for x
    x = 132,355,006,709.03/542,008.78
  6. Step 6: Final answer
    x = 244,193.47

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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.