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Finding the Fourth Proportional to 290,079.76, 400,316.97 and 162,764.77

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Solution

The fourth proportional to 290,079.76, 400,316.97 and 162,764.77 is: 224,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,079.76 : 400,316.97 = 162,764.77 : x
  2. Step 2: Convert to fraction form
    290,079.76/400,316.97 = 162,764.77/x
  3. Step 3: Cross multiply
    290,079.76x = 400,316.97 × 162,764.77
  4. Step 4: Simplify right side
    290,079.76x = 65,157,499,549.15
  5. Step 5: Solve for x
    x = 65,157,499,549.15/290,079.76
  6. Step 6: Final answer
    x = 224,619.25

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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.