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Finding the Fourth Proportional to 266,418.07, 399,784.71 and 98,056.64

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Solution

The fourth proportional to 266,418.07, 399,784.71 and 98,056.64 is: 147,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,418.07 : 399,784.71 = 98,056.64 : x
  2. Step 2: Convert to fraction form
    266,418.07/399,784.71 = 98,056.64/x
  3. Step 3: Cross multiply
    266,418.07x = 399,784.71 × 98,056.64
  4. Step 4: Simplify right side
    266,418.07x = 39,201,546,753.15
  5. Step 5: Solve for x
    x = 39,201,546,753.15/266,418.07
  6. Step 6: Final answer
    x = 147,142.97

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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.