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Finding the Fourth Proportional to 290,213.72, 435,488.72 and 121,719.04

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Solution

The fourth proportional to 290,213.72, 435,488.72 and 121,719.04 is: 182,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,213.72 : 435,488.72 = 121,719.04 : x
  2. Step 2: Convert to fraction form
    290,213.72/435,488.72 = 121,719.04/x
  3. Step 3: Cross multiply
    290,213.72x = 435,488.72 × 121,719.04
  4. Step 4: Simplify right side
    290,213.72x = 53,007,268,929.23
  5. Step 5: Solve for x
    x = 53,007,268,929.23/290,213.72
  6. Step 6: Final answer
    x = 182,649.08

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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.