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Finding the Fourth Proportional to 313,856.88, 433,119 and 233,643.12

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Solution

The fourth proportional to 313,856.88, 433,119 and 233,643.12 is: 322,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856.88 : 433,119 = 233,643.12 : x
  2. Step 2: Convert to fraction form
    313,856.88/433,119 = 233,643.12/x
  3. Step 3: Cross multiply
    313,856.88x = 433,119 × 233,643.12
  4. Step 4: Simplify right side
    313,856.88x = 101,195,274,491.28
  5. Step 5: Solve for x
    x = 101,195,274,491.28/313,856.88
  6. Step 6: Final answer
    x = 322,424.90

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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.