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Finding the Fourth Proportional to 458,448.12, 687,680.64 and 158,938.44

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Solution

The fourth proportional to 458,448.12, 687,680.64 and 158,938.44 is: 238,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,448.12 : 687,680.64 = 158,938.44 : x
  2. Step 2: Convert to fraction form
    458,448.12/687,680.64 = 158,938.44/x
  3. Step 3: Cross multiply
    458,448.12x = 687,680.64 × 158,938.44
  4. Step 4: Simplify right side
    458,448.12x = 109,298,888,139.80
  5. Step 5: Solve for x
    x = 109,298,888,139.80/458,448.12
  6. Step 6: Final answer
    x = 238,410.59

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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.