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Finding the Fourth Proportional to 313,259.28, 432,294.21 and 170,019.42

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Solution

The fourth proportional to 313,259.28, 432,294.21 and 170,019.42 is: 234,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,259.28 : 432,294.21 = 170,019.42 : x
  2. Step 2: Convert to fraction form
    313,259.28/432,294.21 = 170,019.42/x
  3. Step 3: Cross multiply
    313,259.28x = 432,294.21 × 170,019.42
  4. Step 4: Simplify right side
    313,259.28x = 73,498,410,853.56
  5. Step 5: Solve for x
    x = 73,498,410,853.56/313,259.28
  6. Step 6: Final answer
    x = 234,624.85

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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.