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Finding the Fourth Proportional to 274,209.40, 411,314.10 and 272,459.80

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Solution

The fourth proportional to 274,209.40, 411,314.10 and 272,459.80 is: 408,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,209.40 : 411,314.10 = 272,459.80 : x
  2. Step 2: Convert to fraction form
    274,209.40/411,314.10 = 272,459.80/x
  3. Step 3: Cross multiply
    274,209.40x = 411,314.10 × 272,459.80
  4. Step 4: Simplify right side
    274,209.40x = 112,066,557,423.18
  5. Step 5: Solve for x
    x = 112,066,557,423.18/274,209.40
  6. Step 6: Final answer
    x = 408,689.70

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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.