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Finding the Fourth Proportional to 266,608.36, 399,913.30 and 77,084.16

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Solution

The fourth proportional to 266,608.36, 399,913.30 and 77,084.16 is: 115,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,608.36 : 399,913.30 = 77,084.16 : x
  2. Step 2: Convert to fraction form
    266,608.36/399,913.30 = 77,084.16/x
  3. Step 3: Cross multiply
    266,608.36x = 399,913.30 × 77,084.16
  4. Step 4: Simplify right side
    266,608.36x = 30,826,979,400.01
  5. Step 5: Solve for x
    x = 30,826,979,400.01/266,608.36
  6. Step 6: Final answer
    x = 115,626.45

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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.