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Finding the Fourth Proportional to 462,335.15, 638,020.31 and 258,385.86

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Solution

The fourth proportional to 462,335.15, 638,020.31 and 258,385.86 is: 356,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,335.15 : 638,020.31 = 258,385.86 : x
  2. Step 2: Convert to fraction form
    462,335.15/638,020.31 = 258,385.86/x
  3. Step 3: Cross multiply
    462,335.15x = 638,020.31 × 258,385.86
  4. Step 4: Simplify right side
    462,335.15x = 164,855,427,142.78
  5. Step 5: Solve for x
    x = 164,855,427,142.78/462,335.15
  6. Step 6: Final answer
    x = 356,571.26

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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.