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Finding the Fourth Proportional to 272,930.80, 409,703.40 and 210,876.40

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Solution

The fourth proportional to 272,930.80, 409,703.40 and 210,876.40 is: 316,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,930.80 : 409,703.40 = 210,876.40 : x
  2. Step 2: Convert to fraction form
    272,930.80/409,703.40 = 210,876.40/x
  3. Step 3: Cross multiply
    272,930.80x = 409,703.40 × 210,876.40
  4. Step 4: Simplify right side
    272,930.80x = 86,396,778,059.76
  5. Step 5: Solve for x
    x = 86,396,778,059.76/272,930.80
  6. Step 6: Final answer
    x = 316,551.95

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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.