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Finding the Fourth Proportional to 302,428.10, 453,642.15 and 144,964.10

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Solution

The fourth proportional to 302,428.10, 453,642.15 and 144,964.10 is: 217,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,428.10 : 453,642.15 = 144,964.10 : x
  2. Step 2: Convert to fraction form
    302,428.10/453,642.15 = 144,964.10/x
  3. Step 3: Cross multiply
    302,428.10x = 453,642.15 × 144,964.10
  4. Step 4: Simplify right side
    302,428.10x = 65,761,825,996.82
  5. Step 5: Solve for x
    x = 65,761,825,996.82/302,428.10
  6. Step 6: Final answer
    x = 217,446.15

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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.