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Finding the Fourth Proportional to 289,910.56, 400,071.76 and 169,122.08

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Solution

The fourth proportional to 289,910.56, 400,071.76 and 169,122.08 is: 233,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,910.56 : 400,071.76 = 169,122.08 : x
  2. Step 2: Convert to fraction form
    289,910.56/400,071.76 = 169,122.08/x
  3. Step 3: Cross multiply
    289,910.56x = 400,071.76 × 169,122.08
  4. Step 4: Simplify right side
    289,910.56x = 67,660,968,200.46
  5. Step 5: Solve for x
    x = 67,660,968,200.46/289,910.56
  6. Step 6: Final answer
    x = 233,385.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.