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Finding the Fourth Proportional to 542,411.51, 813,752.78 and 382,799.09

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Solution

The fourth proportional to 542,411.51, 813,752.78 and 382,799.09 is: 574,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,411.51 : 813,752.78 = 382,799.09 : x
  2. Step 2: Convert to fraction form
    542,411.51/813,752.78 = 382,799.09/x
  3. Step 3: Cross multiply
    542,411.51x = 813,752.78 × 382,799.09
  4. Step 4: Simplify right side
    542,411.51x = 311,503,817,686.21
  5. Step 5: Solve for x
    x = 311,503,817,686.21/542,411.51
  6. Step 6: Final answer
    x = 574,294.27

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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.