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Finding the Fourth Proportional to 282,348.68, 389,649.30 and 159,831.60

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Solution

The fourth proportional to 282,348.68, 389,649.30 and 159,831.60 is: 220,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348.68 : 389,649.30 = 159,831.60 : x
  2. Step 2: Convert to fraction form
    282,348.68/389,649.30 = 159,831.60/x
  3. Step 3: Cross multiply
    282,348.68x = 389,649.30 × 159,831.60
  4. Step 4: Simplify right side
    282,348.68x = 62,278,271,057.88
  5. Step 5: Solve for x
    x = 62,278,271,057.88/282,348.68
  6. Step 6: Final answer
    x = 220,572.21

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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.