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Finding the Fourth Proportional to 430,165.44, 645,248.10 and 204,842.71

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Solution

The fourth proportional to 430,165.44, 645,248.10 and 204,842.71 is: 307,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,165.44 : 645,248.10 = 204,842.71 : x
  2. Step 2: Convert to fraction form
    430,165.44/645,248.10 = 204,842.71/x
  3. Step 3: Cross multiply
    430,165.44x = 645,248.10 × 204,842.71
  4. Step 4: Simplify right side
    430,165.44x = 132,174,371,001.07
  5. Step 5: Solve for x
    x = 132,174,371,001.07/430,165.44
  6. Step 6: Final answer
    x = 307,264.04

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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.