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Finding the Fourth Proportional to 200,313.72, 300,451.02 and 52,569.72

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Solution

The fourth proportional to 200,313.72, 300,451.02 and 52,569.72 is: 78,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,313.72 : 300,451.02 = 52,569.72 : x
  2. Step 2: Convert to fraction form
    200,313.72/300,451.02 = 52,569.72/x
  3. Step 3: Cross multiply
    200,313.72x = 300,451.02 × 52,569.72
  4. Step 4: Simplify right side
    200,313.72x = 15,794,625,995.11
  5. Step 5: Solve for x
    x = 15,794,625,995.11/200,313.72
  6. Step 6: Final answer
    x = 78,849.45

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1.5x scale

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.