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Finding the Fourth Proportional to 411,039.72, 615,009.23 and 242,651.65

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Solution

The fourth proportional to 411,039.72, 615,009.23 and 242,651.65 is: 363,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,039.72 : 615,009.23 = 242,651.65 : x
  2. Step 2: Convert to fraction form
    411,039.72/615,009.23 = 242,651.65/x
  3. Step 3: Cross multiply
    411,039.72x = 615,009.23 × 242,651.65
  4. Step 4: Simplify right side
    411,039.72x = 149,233,004,424.73
  5. Step 5: Solve for x
    x = 149,233,004,424.73/411,039.72
  6. Step 6: Final answer
    x = 363,062.25

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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.