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Finding the Fourth Proportional to 310,184.81, 428,044.25 and 189,528.05

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Solution

The fourth proportional to 310,184.81, 428,044.25 and 189,528.05 is: 261,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,184.81 : 428,044.25 = 189,528.05 : x
  2. Step 2: Convert to fraction form
    310,184.81/428,044.25 = 189,528.05/x
  3. Step 3: Cross multiply
    310,184.81x = 428,044.25 × 189,528.05
  4. Step 4: Simplify right side
    310,184.81x = 81,126,391,068.57
  5. Step 5: Solve for x
    x = 81,126,391,068.57/310,184.81
  6. Step 6: Final answer
    x = 261,542.11

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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.