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Finding the Fourth Proportional to 415,329.68, 622,965.32 and 237,278.72

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Solution

The fourth proportional to 415,329.68, 622,965.32 and 237,278.72 is: 355,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,329.68 : 622,965.32 = 237,278.72 : x
  2. Step 2: Convert to fraction form
    415,329.68/622,965.32 = 237,278.72/x
  3. Step 3: Cross multiply
    415,329.68x = 622,965.32 × 237,278.72
  4. Step 4: Simplify right side
    415,329.68x = 147,816,413,733.99
  5. Step 5: Solve for x
    x = 147,816,413,733.99/415,329.68
  6. Step 6: Final answer
    x = 355,901.40

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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.