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Finding the Fourth Proportional to 462,827.31, 638,760.85 and 258,889.56

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Solution

The fourth proportional to 462,827.31, 638,760.85 and 258,889.56 is: 357,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,827.31 : 638,760.85 = 258,889.56 : x
  2. Step 2: Convert to fraction form
    462,827.31/638,760.85 = 258,889.56/x
  3. Step 3: Cross multiply
    462,827.31x = 638,760.85 × 258,889.56
  4. Step 4: Simplify right side
    462,827.31x = 165,368,514,754.50
  5. Step 5: Solve for x
    x = 165,368,514,754.50/462,827.31
  6. Step 6: Final answer
    x = 357,300.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.