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Finding the Fourth Proportional to 462,965.12, 639,110.31 and 348,287.54

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Solution

The fourth proportional to 462,965.12, 639,110.31 and 348,287.54 is: 480,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,965.12 : 639,110.31 = 348,287.54 : x
  2. Step 2: Convert to fraction form
    462,965.12/639,110.31 = 348,287.54/x
  3. Step 3: Cross multiply
    462,965.12x = 639,110.31 × 348,287.54
  4. Step 4: Simplify right side
    462,965.12x = 222,594,158,711.02
  5. Step 5: Solve for x
    x = 222,594,158,711.02/462,965.12
  6. Step 6: Final answer
    x = 480,801.14

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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.