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Finding the Fourth Proportional to 609,048.28, 840,728.46 and 412,859.80

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Solution

The fourth proportional to 609,048.28, 840,728.46 and 412,859.80 is: 569,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,048.28 : 840,728.46 = 412,859.80 : x
  2. Step 2: Convert to fraction form
    609,048.28/840,728.46 = 412,859.80/x
  3. Step 3: Cross multiply
    609,048.28x = 840,728.46 × 412,859.80
  4. Step 4: Simplify right side
    609,048.28x = 347,102,983,849.91
  5. Step 5: Solve for x
    x = 347,102,983,849.91/609,048.28
  6. Step 6: Final answer
    x = 569,910.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.