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Finding the Fourth Proportional to 266,698.40, 399,983.60 and 154,135.20

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Solution

The fourth proportional to 266,698.40, 399,983.60 and 154,135.20 is: 231,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,698.40 : 399,983.60 = 154,135.20 : x
  2. Step 2: Convert to fraction form
    266,698.40/399,983.60 = 154,135.20/x
  3. Step 3: Cross multiply
    266,698.40x = 399,983.60 × 154,135.20
  4. Step 4: Simplify right side
    266,698.40x = 61,651,552,182.72
  5. Step 5: Solve for x
    x = 61,651,552,182.72/266,698.40
  6. Step 6: Final answer
    x = 231,165.81

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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.