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Finding the Fourth Proportional to 287,283.49, 396,447.49 and 158,219.50

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Solution

The fourth proportional to 287,283.49, 396,447.49 and 158,219.50 is: 218,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,283.49 : 396,447.49 = 158,219.50 : x
  2. Step 2: Convert to fraction form
    287,283.49/396,447.49 = 158,219.50/x
  3. Step 3: Cross multiply
    287,283.49x = 396,447.49 × 158,219.50
  4. Step 4: Simplify right side
    287,283.49x = 62,725,723,644.06
  5. Step 5: Solve for x
    x = 62,725,723,644.06/287,283.49
  6. Step 6: Final answer
    x = 218,340.86

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1.5x scale

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.