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Finding the Fourth Proportional to 667,678.50, 921,395.13 and 361,762.65

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Solution

The fourth proportional to 667,678.50, 921,395.13 and 361,762.65 is: 499,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,678.50 : 921,395.13 = 361,762.65 : x
  2. Step 2: Convert to fraction form
    667,678.50/921,395.13 = 361,762.65/x
  3. Step 3: Cross multiply
    667,678.50x = 921,395.13 × 361,762.65
  4. Step 4: Simplify right side
    667,678.50x = 333,326,343,925.90
  5. Step 5: Solve for x
    x = 333,326,343,925.90/667,678.50
  6. Step 6: Final answer
    x = 499,231.81

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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.