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Finding the Fourth Proportional to 318,616.46, 477,934.28 and 78,730.35

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Solution

The fourth proportional to 318,616.46, 477,934.28 and 78,730.35 is: 118,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,616.46 : 477,934.28 = 78,730.35 : x
  2. Step 2: Convert to fraction form
    318,616.46/477,934.28 = 78,730.35/x
  3. Step 3: Cross multiply
    318,616.46x = 477,934.28 × 78,730.35
  4. Step 4: Simplify right side
    318,616.46x = 37,627,930,955.49
  5. Step 5: Solve for x
    x = 37,627,930,955.49/318,616.46
  6. Step 6: Final answer
    x = 118,097.89

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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.