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Finding the Fourth Proportional to 542,376, 813,564 and 168,399

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Solution

The fourth proportional to 542,376, 813,564 and 168,399 is: 252,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,376 : 813,564 = 168,399 : x
  2. Step 2: Convert to fraction form
    542,376/813,564 = 168,399/x
  3. Step 3: Cross multiply
    542,376x = 813,564 × 168,399
  4. Step 4: Simplify right side
    542,376x = 137,003,364,036
  5. Step 5: Solve for x
    x = 137,003,364,036/542,376
  6. Step 6: Final answer
    x = 252,598.50

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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.