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Finding the Fourth Proportional to 290,225.01, 400,488.54 and 162,876

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Solution

The fourth proportional to 290,225.01, 400,488.54 and 162,876 is: 224,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,225.01 : 400,488.54 = 162,876 : x
  2. Step 2: Convert to fraction form
    290,225.01/400,488.54 = 162,876/x
  3. Step 3: Cross multiply
    290,225.01x = 400,488.54 × 162,876
  4. Step 4: Simplify right side
    290,225.01x = 65,229,971,441.04
  5. Step 5: Solve for x
    x = 65,229,971,441.04/290,225.01
  6. Step 6: Final answer
    x = 224,756.55

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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.