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Finding the Fourth Proportional to 713,165.80, 984,039.78 and 458,458.60

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Solution

The fourth proportional to 713,165.80, 984,039.78 and 458,458.60 is: 632,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,165.80 : 984,039.78 = 458,458.60 : x
  2. Step 2: Convert to fraction form
    713,165.80/984,039.78 = 458,458.60/x
  3. Step 3: Cross multiply
    713,165.80x = 984,039.78 × 458,458.60
  4. Step 4: Simplify right side
    713,165.80x = 451,141,499,883.11
  5. Step 5: Solve for x
    x = 451,141,499,883.11/713,165.80
  6. Step 6: Final answer
    x = 632,589.92

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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.