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Finding the Fourth Proportional to 542,083.60, 812,801.40 and 331,872.40

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Solution

The fourth proportional to 542,083.60, 812,801.40 and 331,872.40 is: 497,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,083.60 : 812,801.40 = 331,872.40 : x
  2. Step 2: Convert to fraction form
    542,083.60/812,801.40 = 331,872.40/x
  3. Step 3: Cross multiply
    542,083.60x = 812,801.40 × 331,872.40
  4. Step 4: Simplify right side
    542,083.60x = 269,746,351,341.36
  5. Step 5: Solve for x
    x = 269,746,351,341.36/542,083.60
  6. Step 6: Final answer
    x = 497,610.24

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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.