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Finding the Fourth Proportional to 288,964.98, 398,801.67 and 166,461.60

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Solution

The fourth proportional to 288,964.98, 398,801.67 and 166,461.60 is: 229,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,964.98 : 398,801.67 = 166,461.60 : x
  2. Step 2: Convert to fraction form
    288,964.98/398,801.67 = 166,461.60/x
  3. Step 3: Cross multiply
    288,964.98x = 398,801.67 × 166,461.60
  4. Step 4: Simplify right side
    288,964.98x = 66,385,164,070.87
  5. Step 5: Solve for x
    x = 66,385,164,070.87/288,964.98
  6. Step 6: Final answer
    x = 229,734.29

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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.