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Finding the Fourth Proportional to 542,143.28, 813,210.06 and 423,914.06

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Solution

The fourth proportional to 542,143.28, 813,210.06 and 423,914.06 is: 635,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,143.28 : 813,210.06 = 423,914.06 : x
  2. Step 2: Convert to fraction form
    542,143.28/813,210.06 = 423,914.06/x
  3. Step 3: Cross multiply
    542,143.28x = 813,210.06 × 423,914.06
  4. Step 4: Simplify right side
    542,143.28x = 344,731,178,167.44
  5. Step 5: Solve for x
    x = 344,731,178,167.44/542,143.28
  6. Step 6: Final answer
    x = 635,867.29

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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.