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Finding the Fourth Proportional to 288,930.20, 433,265.70 and 111,378.20

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Solution

The fourth proportional to 288,930.20, 433,265.70 and 111,378.20 is: 167,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,930.20 : 433,265.70 = 111,378.20 : x
  2. Step 2: Convert to fraction form
    288,930.20/433,265.70 = 111,378.20/x
  3. Step 3: Cross multiply
    288,930.20x = 433,265.70 × 111,378.20
  4. Step 4: Simplify right side
    288,930.20x = 48,256,353,787.74
  5. Step 5: Solve for x
    x = 48,256,353,787.74/288,930.20
  6. Step 6: Final answer
    x = 167,017.34

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1.5x scale

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.