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Finding the Fourth Proportional to 458,634.40, 687,368.40 and 408,479.20

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Solution

The fourth proportional to 458,634.40, 687,368.40 and 408,479.20 is: 612,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,634.40 : 687,368.40 = 408,479.20 : x
  2. Step 2: Convert to fraction form
    458,634.40/687,368.40 = 408,479.20/x
  3. Step 3: Cross multiply
    458,634.40x = 687,368.40 × 408,479.20
  4. Step 4: Simplify right side
    458,634.40x = 280,775,694,137.28
  5. Step 5: Solve for x
    x = 280,775,694,137.28/458,634.40
  6. Step 6: Final answer
    x = 612,199.38

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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.