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Finding the Fourth Proportional to 310,930.50, 429,084.12 and 176,794.50

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Solution

The fourth proportional to 310,930.50, 429,084.12 and 176,794.50 is: 243,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.50 : 429,084.12 = 176,794.50 : x
  2. Step 2: Convert to fraction form
    310,930.50/429,084.12 = 176,794.50/x
  3. Step 3: Cross multiply
    310,930.50x = 429,084.12 × 176,794.50
  4. Step 4: Simplify right side
    310,930.50x = 75,859,712,453.34
  5. Step 5: Solve for x
    x = 75,859,712,453.34/310,930.50
  6. Step 6: Final answer
    x = 243,976.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.