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Finding the Fourth Proportional to 542,424.78, 813,339.09 and 430,819.74

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Solution

The fourth proportional to 542,424.78, 813,339.09 and 430,819.74 is: 645,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,424.78 : 813,339.09 = 430,819.74 : x
  2. Step 2: Convert to fraction form
    542,424.78/813,339.09 = 430,819.74/x
  3. Step 3: Cross multiply
    542,424.78x = 813,339.09 × 430,819.74
  4. Step 4: Simplify right side
    542,424.78x = 350,402,535,285.64
  5. Step 5: Solve for x
    x = 350,402,535,285.64/542,424.78
  6. Step 6: Final answer
    x = 645,992.86

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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.