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Finding the Fourth Proportional to 266,798.40, 401,072.40 and 188,455.20

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Solution

The fourth proportional to 266,798.40, 401,072.40 and 188,455.20 is: 283,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,798.40 : 401,072.40 = 188,455.20 : x
  2. Step 2: Convert to fraction form
    266,798.40/401,072.40 = 188,455.20/x
  3. Step 3: Cross multiply
    266,798.40x = 401,072.40 × 188,455.20
  4. Step 4: Simplify right side
    266,798.40x = 75,584,179,356.48
  5. Step 5: Solve for x
    x = 75,584,179,356.48/266,798.40
  6. Step 6: Final answer
    x = 283,300.72

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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.