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Finding the Fourth Proportional to 448,658.51, 672,735.42 and 148,978.71

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Solution

The fourth proportional to 448,658.51, 672,735.42 and 148,978.71 is: 223,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,658.51 : 672,735.42 = 148,978.71 : x
  2. Step 2: Convert to fraction form
    448,658.51/672,735.42 = 148,978.71/x
  3. Step 3: Cross multiply
    448,658.51x = 672,735.42 × 148,978.71
  4. Step 4: Simplify right side
    448,658.51x = 100,223,255,042.91
  5. Step 5: Solve for x
    x = 100,223,255,042.91/448,658.51
  6. Step 6: Final answer
    x = 223,384.28

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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.