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Finding the Fourth Proportional to 272,932.80, 409,706.40 and 210,878.40

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Solution

The fourth proportional to 272,932.80, 409,706.40 and 210,878.40 is: 316,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,932.80 : 409,706.40 = 210,878.40 : x
  2. Step 2: Convert to fraction form
    272,932.80/409,706.40 = 210,878.40/x
  3. Step 3: Cross multiply
    272,932.80x = 409,706.40 × 210,878.40
  4. Step 4: Simplify right side
    272,932.80x = 86,398,230,101.76
  5. Step 5: Solve for x
    x = 86,398,230,101.76/272,932.80
  6. Step 6: Final answer
    x = 316,554.95

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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.