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Finding the Fourth Proportional to 462,728.30, 638,560.50 and 258,776.87

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Solution

The fourth proportional to 462,728.30, 638,560.50 and 258,776.87 is: 357,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,728.30 : 638,560.50 = 258,776.87 : x
  2. Step 2: Convert to fraction form
    462,728.30/638,560.50 = 258,776.87/x
  3. Step 3: Cross multiply
    462,728.30x = 638,560.50 × 258,776.87
  4. Step 4: Simplify right side
    462,728.30x = 165,244,687,495.64
  5. Step 5: Solve for x
    x = 165,244,687,495.64/462,728.30
  6. Step 6: Final answer
    x = 357,109.53

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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.