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Finding the Fourth Proportional to 282,420.50, 389,642.85 and 180,505.61

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Solution

The fourth proportional to 282,420.50, 389,642.85 and 180,505.61 is: 249,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,420.50 : 389,642.85 = 180,505.61 : x
  2. Step 2: Convert to fraction form
    282,420.50/389,642.85 = 180,505.61/x
  3. Step 3: Cross multiply
    282,420.50x = 389,642.85 × 180,505.61
  4. Step 4: Simplify right side
    282,420.50x = 70,332,720,321.39
  5. Step 5: Solve for x
    x = 70,332,720,321.39/282,420.50
  6. Step 6: Final answer
    x = 249,035.46

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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.