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Finding the Fourth Proportional to 458,016.87, 687,420.59 and 317,873.91

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Solution

The fourth proportional to 458,016.87, 687,420.59 and 317,873.91 is: 477,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,016.87 : 687,420.59 = 317,873.91 : x
  2. Step 2: Convert to fraction form
    458,016.87/687,420.59 = 317,873.91/x
  3. Step 3: Cross multiply
    458,016.87x = 687,420.59 × 317,873.91
  4. Step 4: Simplify right side
    458,016.87x = 218,513,069,168.44
  5. Step 5: Solve for x
    x = 218,513,069,168.44/458,016.87
  6. Step 6: Final answer
    x = 477,085.20

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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.