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Finding the Fourth Proportional to 266,133.60, 398,662.80 and 165,986.40

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Solution

The fourth proportional to 266,133.60, 398,662.80 and 165,986.40 is: 248,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,133.60 : 398,662.80 = 165,986.40 : x
  2. Step 2: Convert to fraction form
    266,133.60/398,662.80 = 165,986.40/x
  3. Step 3: Cross multiply
    266,133.60x = 398,662.80 × 165,986.40
  4. Step 4: Simplify right side
    266,133.60x = 66,172,602,985.92
  5. Step 5: Solve for x
    x = 66,172,602,985.92/266,133.60
  6. Step 6: Final answer
    x = 248,644.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.