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Finding the Fourth Proportional to 288,133.44, 397,646.64 and 160,828.12

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Solution

The fourth proportional to 288,133.44, 397,646.64 and 160,828.12 is: 221,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,133.44 : 397,646.64 = 160,828.12 : x
  2. Step 2: Convert to fraction form
    288,133.44/397,646.64 = 160,828.12/x
  3. Step 3: Cross multiply
    288,133.44x = 397,646.64 × 160,828.12
  4. Step 4: Simplify right side
    288,133.44x = 63,952,761,535.52
  5. Step 5: Solve for x
    x = 63,952,761,535.52/288,133.44
  6. Step 6: Final answer
    x = 221,955.36

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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.