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Finding the Fourth Proportional to 448,008, 672,024.96 and 115,584

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Solution

The fourth proportional to 448,008, 672,024.96 and 115,584 is: 173,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,008 : 672,024.96 = 115,584 : x
  2. Step 2: Convert to fraction form
    448,008/672,024.96 = 115,584/x
  3. Step 3: Cross multiply
    448,008x = 672,024.96 × 115,584
  4. Step 4: Simplify right side
    448,008x = 77,675,332,976.64
  5. Step 5: Solve for x
    x = 77,675,332,976.64/448,008
  6. Step 6: Final answer
    x = 173,379.34

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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.