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Finding the Fourth Proportional to 317,082.56, 437,323.52 and 280,822.08

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Solution

The fourth proportional to 317,082.56, 437,323.52 and 280,822.08 is: 387,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,082.56 : 437,323.52 = 280,822.08 : x
  2. Step 2: Convert to fraction form
    317,082.56/437,323.52 = 280,822.08/x
  3. Step 3: Cross multiply
    317,082.56x = 437,323.52 × 280,822.08
  4. Step 4: Simplify right side
    317,082.56x = 122,810,100,519.32
  5. Step 5: Solve for x
    x = 122,810,100,519.32/317,082.56
  6. Step 6: Final answer
    x = 387,312.69

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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.