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Finding the Fourth Proportional to 299,459.76, 448,473.54 and 172,715.75

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Solution

The fourth proportional to 299,459.76, 448,473.54 and 172,715.75 is: 258,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,459.76 : 448,473.54 = 172,715.75 : x
  2. Step 2: Convert to fraction form
    299,459.76/448,473.54 = 172,715.75/x
  3. Step 3: Cross multiply
    299,459.76x = 448,473.54 × 172,715.75
  4. Step 4: Simplify right side
    299,459.76x = 77,458,445,585.12
  5. Step 5: Solve for x
    x = 77,458,445,585.12/299,459.76
  6. Step 6: Final answer
    x = 258,660.61

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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.