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Finding the Fourth Proportional to 285,921.86, 429,022.53 and 202,219.92

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Solution

The fourth proportional to 285,921.86, 429,022.53 and 202,219.92 is: 303,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,921.86 : 429,022.53 = 202,219.92 : x
  2. Step 2: Convert to fraction form
    285,921.86/429,022.53 = 202,219.92/x
  3. Step 3: Cross multiply
    285,921.86x = 429,022.53 × 202,219.92
  4. Step 4: Simplify right side
    285,921.86x = 86,756,901,694.80
  5. Step 5: Solve for x
    x = 86,756,901,694.80/285,921.86
  6. Step 6: Final answer
    x = 303,428.72

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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.