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Finding the Fourth Proportional to 289,710.70, 433,982.85 and 149,548.30

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Solution

The fourth proportional to 289,710.70, 433,982.85 and 149,548.30 is: 224,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,710.70 : 433,982.85 = 149,548.30 : x
  2. Step 2: Convert to fraction form
    289,710.70/433,982.85 = 149,548.30/x
  3. Step 3: Cross multiply
    289,710.70x = 433,982.85 × 149,548.30
  4. Step 4: Simplify right side
    289,710.70x = 64,901,397,446.66
  5. Step 5: Solve for x
    x = 64,901,397,446.66/289,710.70
  6. Step 6: Final answer
    x = 224,021.40

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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.