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Finding the Fourth Proportional to 287,722.44, 397,057.41 and 160,395.30

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Solution

The fourth proportional to 287,722.44, 397,057.41 and 160,395.30 is: 221,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.44 : 397,057.41 = 160,395.30 : x
  2. Step 2: Convert to fraction form
    287,722.44/397,057.41 = 160,395.30/x
  3. Step 3: Cross multiply
    287,722.44x = 397,057.41 × 160,395.30
  4. Step 4: Simplify right side
    287,722.44x = 63,686,142,394.17
  5. Step 5: Solve for x
    x = 63,686,142,394.17/287,722.44
  6. Step 6: Final answer
    x = 221,345.76

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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.