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Finding the Fourth Proportional to 288,986.70, 433,480.05 and 131,522.70

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Solution

The fourth proportional to 288,986.70, 433,480.05 and 131,522.70 is: 197,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,986.70 : 433,480.05 = 131,522.70 : x
  2. Step 2: Convert to fraction form
    288,986.70/433,480.05 = 131,522.70/x
  3. Step 3: Cross multiply
    288,986.70x = 433,480.05 × 131,522.70
  4. Step 4: Simplify right side
    288,986.70x = 57,012,466,572.14
  5. Step 5: Solve for x
    x = 57,012,466,572.14/288,986.70
  6. Step 6: Final answer
    x = 197,284.05

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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.