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Finding the Fourth Proportional to 318,013.20, 476,723.34 and 107,503.92

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Solution

The fourth proportional to 318,013.20, 476,723.34 and 107,503.92 is: 161,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,013.20 : 476,723.34 = 107,503.92 : x
  2. Step 2: Convert to fraction form
    318,013.20/476,723.34 = 107,503.92/x
  3. Step 3: Cross multiply
    318,013.20x = 476,723.34 × 107,503.92
  4. Step 4: Simplify right side
    318,013.20x = 51,249,627,805.49
  5. Step 5: Solve for x
    x = 51,249,627,805.49/318,013.20
  6. Step 6: Final answer
    x = 161,155.66

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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.