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Finding the Fourth Proportional to 290,079.76, 400,309.68 and 162,767.20

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Solution

The fourth proportional to 290,079.76, 400,309.68 and 162,767.20 is: 224,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,079.76 : 400,309.68 = 162,767.20 : x
  2. Step 2: Convert to fraction form
    290,079.76/400,309.68 = 162,767.20/x
  3. Step 3: Cross multiply
    290,079.76x = 400,309.68 × 162,767.20
  4. Step 4: Simplify right side
    290,079.76x = 65,157,285,746.50
  5. Step 5: Solve for x
    x = 65,157,285,746.50/290,079.76
  6. Step 6: Final answer
    x = 224,618.52

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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.