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Finding the Fourth Proportional to 311,831.80, 430,327.83 and 168,591.84

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Solution

The fourth proportional to 311,831.80, 430,327.83 and 168,591.84 is: 232,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,831.80 : 430,327.83 = 168,591.84 : x
  2. Step 2: Convert to fraction form
    311,831.80/430,327.83 = 168,591.84/x
  3. Step 3: Cross multiply
    311,831.80x = 430,327.83 × 168,591.84
  4. Step 4: Simplify right side
    311,831.80x = 72,549,762,101.99
  5. Step 5: Solve for x
    x = 72,549,762,101.99/311,831.80
  6. Step 6: Final answer
    x = 232,656.72

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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.