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Finding the Fourth Proportional to 412,813.28, 569,705.34 and 310,655

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Solution

The fourth proportional to 412,813.28, 569,705.34 and 310,655 is: 428,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,813.28 : 569,705.34 = 310,655 : x
  2. Step 2: Convert to fraction form
    412,813.28/569,705.34 = 310,655/x
  3. Step 3: Cross multiply
    412,813.28x = 569,705.34 × 310,655
  4. Step 4: Simplify right side
    412,813.28x = 176,981,812,397.70
  5. Step 5: Solve for x
    x = 176,981,812,397.70/412,813.28
  6. Step 6: Final answer
    x = 428,721.22

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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.