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Finding the Fourth Proportional to 288,164.80, 397,667.88 and 160,840.36

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Solution

The fourth proportional to 288,164.80, 397,667.88 and 160,840.36 is: 221,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,164.80 : 397,667.88 = 160,840.36 : x
  2. Step 2: Convert to fraction form
    288,164.80/397,667.88 = 160,840.36/x
  3. Step 3: Cross multiply
    288,164.80x = 397,667.88 × 160,840.36
  4. Step 4: Simplify right side
    288,164.80x = 63,961,044,979.64
  5. Step 5: Solve for x
    x = 63,961,044,979.64/288,164.80
  6. Step 6: Final answer
    x = 221,959.95

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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.