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Finding the Fourth Proportional to 312,309.70, 430,986.90 and 169,069.70

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Solution

The fourth proportional to 312,309.70, 430,986.90 and 169,069.70 is: 233,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,309.70 : 430,986.90 = 169,069.70 : x
  2. Step 2: Convert to fraction form
    312,309.70/430,986.90 = 169,069.70/x
  3. Step 3: Cross multiply
    312,309.70x = 430,986.90 × 169,069.70
  4. Step 4: Simplify right side
    312,309.70x = 72,866,825,886.93
  5. Step 5: Solve for x
    x = 72,866,825,886.93/312,309.70
  6. Step 6: Final answer
    x = 233,315.92

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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.