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Finding the Fourth Proportional to 402,658.65, 603,992.76 and 103,131.23

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Solution

The fourth proportional to 402,658.65, 603,992.76 and 103,131.23 is: 154,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,658.65 : 603,992.76 = 103,131.23 : x
  2. Step 2: Convert to fraction form
    402,658.65/603,992.76 = 103,131.23/x
  3. Step 3: Cross multiply
    402,658.65x = 603,992.76 × 103,131.23
  4. Step 4: Simplify right side
    402,658.65x = 62,290,513,229.93
  5. Step 5: Solve for x
    x = 62,290,513,229.93/402,658.65
  6. Step 6: Final answer
    x = 154,698.06

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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.