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Finding the Fourth Proportional to 412,921.07, 619,381.61 and 412,921.07

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Solution

The fourth proportional to 412,921.07, 619,381.61 and 412,921.07 is: 619,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,921.07 : 619,381.61 = 412,921.07 : x
  2. Step 2: Convert to fraction form
    412,921.07/619,381.61 = 412,921.07/x
  3. Step 3: Cross multiply
    412,921.07x = 619,381.61 × 412,921.07
  4. Step 4: Simplify right side
    412,921.07x = 255,755,715,849.14
  5. Step 5: Solve for x
    x = 255,755,715,849.14/412,921.07
  6. Step 6: Final answer
    x = 619,381.61

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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.