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Finding the Fourth Proportional to 458,646.40, 687,386.40 and 408,491.20

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Solution

The fourth proportional to 458,646.40, 687,386.40 and 408,491.20 is: 612,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,646.40 : 687,386.40 = 408,491.20 : x
  2. Step 2: Convert to fraction form
    458,646.40/687,386.40 = 408,491.20/x
  3. Step 3: Cross multiply
    458,646.40x = 687,386.40 × 408,491.20
  4. Step 4: Simplify right side
    458,646.40x = 280,791,295,399.68
  5. Step 5: Solve for x
    x = 280,791,295,399.68/458,646.40
  6. Step 6: Final answer
    x = 612,217.38

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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.