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Finding the Fourth Proportional to 288,963.70, 433,446.90 and 101,975.20

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Solution

The fourth proportional to 288,963.70, 433,446.90 and 101,975.20 is: 152,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,963.70 : 433,446.90 = 101,975.20 : x
  2. Step 2: Convert to fraction form
    288,963.70/433,446.90 = 101,975.20/x
  3. Step 3: Cross multiply
    288,963.70x = 433,446.90 × 101,975.20
  4. Step 4: Simplify right side
    288,963.70x = 44,200,834,316.88
  5. Step 5: Solve for x
    x = 44,200,834,316.88/288,963.70
  6. Step 6: Final answer
    x = 152,963.28

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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.