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Finding the Fourth Proportional to 290,159.28, 400,420.02 and 162,834.86

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Solution

The fourth proportional to 290,159.28, 400,420.02 and 162,834.86 is: 224,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,159.28 : 400,420.02 = 162,834.86 : x
  2. Step 2: Convert to fraction form
    290,159.28/400,420.02 = 162,834.86/x
  3. Step 3: Cross multiply
    290,159.28x = 400,420.02 × 162,834.86
  4. Step 4: Simplify right side
    290,159.28x = 65,202,335,895.80
  5. Step 5: Solve for x
    x = 65,202,335,895.80/290,159.28
  6. Step 6: Final answer
    x = 224,712.22

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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.