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Finding the Fourth Proportional to 422,330.40, 633,145.20 and 156,040.80

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Solution

The fourth proportional to 422,330.40, 633,145.20 and 156,040.80 is: 233,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,330.40 : 633,145.20 = 156,040.80 : x
  2. Step 2: Convert to fraction form
    422,330.40/633,145.20 = 156,040.80/x
  3. Step 3: Cross multiply
    422,330.40x = 633,145.20 × 156,040.80
  4. Step 4: Simplify right side
    422,330.40x = 98,796,483,524.16
  5. Step 5: Solve for x
    x = 98,796,483,524.16/422,330.40
  6. Step 6: Final answer
    x = 233,931.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.