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Finding the Fourth Proportional to 258,308.16, 387,401.76 and 100,472.64

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Solution

The fourth proportional to 258,308.16, 387,401.76 and 100,472.64 is: 150,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,308.16 : 387,401.76 = 100,472.64 : x
  2. Step 2: Convert to fraction form
    258,308.16/387,401.76 = 100,472.64/x
  3. Step 3: Cross multiply
    258,308.16x = 387,401.76 × 100,472.64
  4. Step 4: Simplify right side
    258,308.16x = 38,923,277,567.85
  5. Step 5: Solve for x
    x = 38,923,277,567.85/258,308.16
  6. Step 6: Final answer
    x = 150,685.44

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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.