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Finding the Fourth Proportional to 266,091.30, 398,925 and 153,643.86

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Solution

The fourth proportional to 266,091.30, 398,925 and 153,643.86 is: 230,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,091.30 : 398,925 = 153,643.86 : x
  2. Step 2: Convert to fraction form
    266,091.30/398,925 = 153,643.86/x
  3. Step 3: Cross multiply
    266,091.30x = 398,925 × 153,643.86
  4. Step 4: Simplify right side
    266,091.30x = 61,292,376,850.50
  5. Step 5: Solve for x
    x = 61,292,376,850.50/266,091.30
  6. Step 6: Final answer
    x = 230,343.41

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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.