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Finding the Fourth Proportional to 514,082.70, 709,434.02 and 287,728.20

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Solution

The fourth proportional to 514,082.70, 709,434.02 and 287,728.20 is: 397,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,082.70 : 709,434.02 = 287,728.20 : x
  2. Step 2: Convert to fraction form
    514,082.70/709,434.02 = 287,728.20/x
  3. Step 3: Cross multiply
    514,082.70x = 709,434.02 × 287,728.20
  4. Step 4: Simplify right side
    514,082.70x = 204,124,173,593.36
  5. Step 5: Solve for x
    x = 204,124,173,593.36/514,082.70
  6. Step 6: Final answer
    x = 397,064.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.