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Finding the Fourth Proportional to 458,314.76, 687,505.02 and 191,807

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Solution

The fourth proportional to 458,314.76, 687,505.02 and 191,807 is: 287,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,314.76 : 687,505.02 = 191,807 : x
  2. Step 2: Convert to fraction form
    458,314.76/687,505.02 = 191,807/x
  3. Step 3: Cross multiply
    458,314.76x = 687,505.02 × 191,807
  4. Step 4: Simplify right side
    458,314.76x = 131,868,275,371.14
  5. Step 5: Solve for x
    x = 131,868,275,371.14/458,314.76
  6. Step 6: Final answer
    x = 287,724.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.