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Finding the Fourth Proportional to 313,730.16, 432,947.25 and 170,489.88

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Solution

The fourth proportional to 313,730.16, 432,947.25 and 170,489.88 is: 235,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,730.16 : 432,947.25 = 170,489.88 : x
  2. Step 2: Convert to fraction form
    313,730.16/432,947.25 = 170,489.88/x
  3. Step 3: Cross multiply
    313,730.16x = 432,947.25 × 170,489.88
  4. Step 4: Simplify right side
    313,730.16x = 73,813,124,698.83
  5. Step 5: Solve for x
    x = 73,813,124,698.83/313,730.16
  6. Step 6: Final answer
    x = 235,275.83

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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.