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Finding the Fourth Proportional to 448,171, 672,254 and 258,508.42

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Solution

The fourth proportional to 448,171, 672,254 and 258,508.42 is: 387,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,171 : 672,254 = 258,508.42 : x
  2. Step 2: Convert to fraction form
    448,171/672,254 = 258,508.42/x
  3. Step 3: Cross multiply
    448,171x = 672,254 × 258,508.42
  4. Step 4: Simplify right side
    448,171x = 173,783,319,378.68
  5. Step 5: Solve for x
    x = 173,783,319,378.68/448,171
  6. Step 6: Final answer
    x = 387,761.19

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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.