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Finding the Fourth Proportional to 462,794.12, 638,643.11 and 258,845.43

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Solution

The fourth proportional to 462,794.12, 638,643.11 and 258,845.43 is: 357,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,794.12 : 638,643.11 = 258,845.43 : x
  2. Step 2: Convert to fraction form
    462,794.12/638,643.11 = 258,845.43/x
  3. Step 3: Cross multiply
    462,794.12x = 638,643.11 × 258,845.43
  4. Step 4: Simplify right side
    462,794.12x = 165,309,850,424.49
  5. Step 5: Solve for x
    x = 165,309,850,424.49/462,794.12
  6. Step 6: Final answer
    x = 357,199.55

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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.