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Finding the Fourth Proportional to 290,864.52, 436,034.34 and 202,159.80

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Solution

The fourth proportional to 290,864.52, 436,034.34 and 202,159.80 is: 303,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864.52 : 436,034.34 = 202,159.80 : x
  2. Step 2: Convert to fraction form
    290,864.52/436,034.34 = 202,159.80/x
  3. Step 3: Cross multiply
    290,864.52x = 436,034.34 × 202,159.80
  4. Step 4: Simplify right side
    290,864.52x = 88,148,614,967.53
  5. Step 5: Solve for x
    x = 88,148,614,967.53/290,864.52
  6. Step 6: Final answer
    x = 303,057.30

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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.