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Finding the Fourth Proportional to 457,624.48, 630,821.74 and 321,275.92

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Solution

The fourth proportional to 457,624.48, 630,821.74 and 321,275.92 is: 442,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,624.48 : 630,821.74 = 321,275.92 : x
  2. Step 2: Convert to fraction form
    457,624.48/630,821.74 = 321,275.92/x
  3. Step 3: Cross multiply
    457,624.48x = 630,821.74 × 321,275.92
  4. Step 4: Simplify right side
    457,624.48x = 202,667,834,874.50
  5. Step 5: Solve for x
    x = 202,667,834,874.50/457,624.48
  6. Step 6: Final answer
    x = 442,869.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.