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Finding the Fourth Proportional to 290,348.20, 435,176.70 and 121,868.20

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Solution

The fourth proportional to 290,348.20, 435,176.70 and 121,868.20 is: 182,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,348.20 : 435,176.70 = 121,868.20 : x
  2. Step 2: Convert to fraction form
    290,348.20/435,176.70 = 121,868.20/x
  3. Step 3: Cross multiply
    290,348.20x = 435,176.70 × 121,868.20
  4. Step 4: Simplify right side
    290,348.20x = 53,034,201,110.94
  5. Step 5: Solve for x
    x = 53,034,201,110.94/290,348.20
  6. Step 6: Final answer
    x = 182,657.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.