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Finding the Fourth Proportional to 287,875.26, 397,266.84 and 160,550.78

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Solution

The fourth proportional to 287,875.26, 397,266.84 and 160,550.78 is: 221,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,875.26 : 397,266.84 = 160,550.78 : x
  2. Step 2: Convert to fraction form
    287,875.26/397,266.84 = 160,550.78/x
  3. Step 3: Cross multiply
    287,875.26x = 397,266.84 × 160,550.78
  4. Step 4: Simplify right side
    287,875.26x = 63,781,499,043.80
  5. Step 5: Solve for x
    x = 63,781,499,043.80/287,875.26
  6. Step 6: Final answer
    x = 221,559.50

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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.