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Finding the Fourth Proportional to 329,535.72, 493,122.60 and 285,315.12

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Solution

The fourth proportional to 329,535.72, 493,122.60 and 285,315.12 is: 426,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,535.72 : 493,122.60 = 285,315.12 : x
  2. Step 2: Convert to fraction form
    329,535.72/493,122.60 = 285,315.12/x
  3. Step 3: Cross multiply
    329,535.72x = 493,122.60 × 285,315.12
  4. Step 4: Simplify right side
    329,535.72x = 140,695,333,793.71
  5. Step 5: Solve for x
    x = 140,695,333,793.71/329,535.72
  6. Step 6: Final answer
    x = 426,950.18

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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.