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Finding the Fourth Proportional to 266,078.40, 399,117.60 and 166,351.20

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Solution

The fourth proportional to 266,078.40, 399,117.60 and 166,351.20 is: 249,526.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,078.40 : 399,117.60 = 166,351.20 : x
  2. Step 2: Convert to fraction form
    266,078.40/399,117.60 = 166,351.20/x
  3. Step 3: Cross multiply
    266,078.40x = 399,117.60 × 166,351.20
  4. Step 4: Simplify right side
    266,078.40x = 66,393,691,701.12
  5. Step 5: Solve for x
    x = 66,393,691,701.12/266,078.40
  6. Step 6: Final answer
    x = 249,526.80

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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.