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Finding the Fourth Proportional to 287,772.80, 397,126.92 and 160,456.44

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Solution

The fourth proportional to 287,772.80, 397,126.92 and 160,456.44 is: 221,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772.80 : 397,126.92 = 160,456.44 : x
  2. Step 2: Convert to fraction form
    287,772.80/397,126.92 = 160,456.44/x
  3. Step 3: Cross multiply
    287,772.80x = 397,126.92 × 160,456.44
  4. Step 4: Simplify right side
    287,772.80x = 63,721,571,811.36
  5. Step 5: Solve for x
    x = 63,721,571,811.36/287,772.80
  6. Step 6: Final answer
    x = 221,430.14

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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.