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Finding the Fourth Proportional to 312,571.83, 431,348.70 and 169,332.45

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Solution

The fourth proportional to 312,571.83, 431,348.70 and 169,332.45 is: 233,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,571.83 : 431,348.70 = 169,332.45 : x
  2. Step 2: Convert to fraction form
    312,571.83/431,348.70 = 169,332.45/x
  3. Step 3: Cross multiply
    312,571.83x = 431,348.70 × 169,332.45
  4. Step 4: Simplify right side
    312,571.83x = 73,041,332,175.32
  5. Step 5: Solve for x
    x = 73,041,332,175.32/312,571.83
  6. Step 6: Final answer
    x = 233,678.55

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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.