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Finding the Fourth Proportional to 247,299.80, 370,512.30 and 209,683.40

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Solution

The fourth proportional to 247,299.80, 370,512.30 and 209,683.40 is: 314,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,299.80 : 370,512.30 = 209,683.40 : x
  2. Step 2: Convert to fraction form
    247,299.80/370,512.30 = 209,683.40/x
  3. Step 3: Cross multiply
    247,299.80x = 370,512.30 × 209,683.40
  4. Step 4: Simplify right side
    247,299.80x = 77,690,278,805.82
  5. Step 5: Solve for x
    x = 77,690,278,805.82/247,299.80
  6. Step 6: Final answer
    x = 314,154.23

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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.