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Finding the Fourth Proportional to 458,063.88, 687,099.47 and 188,122.47

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Solution

The fourth proportional to 458,063.88, 687,099.47 and 188,122.47 is: 282,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,063.88 : 687,099.47 = 188,122.47 : x
  2. Step 2: Convert to fraction form
    458,063.88/687,099.47 = 188,122.47/x
  3. Step 3: Cross multiply
    458,063.88x = 687,099.47 × 188,122.47
  4. Step 4: Simplify right side
    458,063.88x = 129,258,852,479.02
  5. Step 5: Solve for x
    x = 129,258,852,479.02/458,063.88
  6. Step 6: Final answer
    x = 282,185.21

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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.