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Finding the Fourth Proportional to 315,082.70, 472,192.05 and 202,417.10

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Solution

The fourth proportional to 315,082.70, 472,192.05 and 202,417.10 is: 303,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,082.70 : 472,192.05 = 202,417.10 : x
  2. Step 2: Convert to fraction form
    315,082.70/472,192.05 = 202,417.10/x
  3. Step 3: Cross multiply
    315,082.70x = 472,192.05 × 202,417.10
  4. Step 4: Simplify right side
    315,082.70x = 95,579,745,404.06
  5. Step 5: Solve for x
    x = 95,579,745,404.06/315,082.70
  6. Step 6: Final answer
    x = 303,348.12

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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.