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Finding the Fourth Proportional to 462,921.52, 638,689.92 and 301,718.08

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Solution

The fourth proportional to 462,921.52, 638,689.92 and 301,718.08 is: 416,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,921.52 : 638,689.92 = 301,718.08 : x
  2. Step 2: Convert to fraction form
    462,921.52/638,689.92 = 301,718.08/x
  3. Step 3: Cross multiply
    462,921.52x = 638,689.92 × 301,718.08
  4. Step 4: Simplify right side
    462,921.52x = 192,704,296,377.75
  5. Step 5: Solve for x
    x = 192,704,296,377.75/462,921.52
  6. Step 6: Final answer
    x = 416,278.54

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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.