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Finding the Fourth Proportional to 492,616.80, 738,925.20 and 412,900.65

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Solution

The fourth proportional to 492,616.80, 738,925.20 and 412,900.65 is: 619,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,616.80 : 738,925.20 = 412,900.65 : x
  2. Step 2: Convert to fraction form
    492,616.80/738,925.20 = 412,900.65/x
  3. Step 3: Cross multiply
    492,616.80x = 738,925.20 × 412,900.65
  4. Step 4: Simplify right side
    492,616.80x = 305,102,695,381.38
  5. Step 5: Solve for x
    x = 305,102,695,381.38/492,616.80
  6. Step 6: Final answer
    x = 619,350.98

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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.