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Finding the Fourth Proportional to 409,510.80, 614,266.20 and 365,965.20

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Solution

The fourth proportional to 409,510.80, 614,266.20 and 365,965.20 is: 548,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,510.80 : 614,266.20 = 365,965.20 : x
  2. Step 2: Convert to fraction form
    409,510.80/614,266.20 = 365,965.20/x
  3. Step 3: Cross multiply
    409,510.80x = 614,266.20 × 365,965.20
  4. Step 4: Simplify right side
    409,510.80x = 224,800,052,736.24
  5. Step 5: Solve for x
    x = 224,800,052,736.24/409,510.80
  6. Step 6: Final answer
    x = 548,947.80

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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.