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Finding the Fourth Proportional to 287,998.16, 397,437.71 and 160,673.78

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Solution

The fourth proportional to 287,998.16, 397,437.71 and 160,673.78 is: 221,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998.16 : 397,437.71 = 160,673.78 : x
  2. Step 2: Convert to fraction form
    287,998.16/397,437.71 = 160,673.78/x
  3. Step 3: Cross multiply
    287,998.16x = 397,437.71 × 160,673.78
  4. Step 4: Simplify right side
    287,998.16x = 63,857,819,370.47
  5. Step 5: Solve for x
    x = 63,857,819,370.47/287,998.16
  6. Step 6: Final answer
    x = 221,729.96

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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.