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Finding the Fourth Proportional to 312,559.92, 431,332.16 and 169,323.57

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Solution

The fourth proportional to 312,559.92, 431,332.16 and 169,323.57 is: 233,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,559.92 : 431,332.16 = 169,323.57 : x
  2. Step 2: Convert to fraction form
    312,559.92/431,332.16 = 169,323.57/x
  3. Step 3: Cross multiply
    312,559.92x = 431,332.16 × 169,323.57
  4. Step 4: Simplify right side
    312,559.92x = 73,034,700,340.39
  5. Step 5: Solve for x
    x = 73,034,700,340.39/312,559.92
  6. Step 6: Final answer
    x = 233,666.24

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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.