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Finding the Fourth Proportional to 520,048.20, 780,145.20 and 204,431.70

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Solution

The fourth proportional to 520,048.20, 780,145.20 and 204,431.70 is: 306,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,048.20 : 780,145.20 = 204,431.70 : x
  2. Step 2: Convert to fraction form
    520,048.20/780,145.20 = 204,431.70/x
  3. Step 3: Cross multiply
    520,048.20x = 780,145.20 × 204,431.70
  4. Step 4: Simplify right side
    520,048.20x = 159,486,409,482.84
  5. Step 5: Solve for x
    x = 159,486,409,482.84/520,048.20
  6. Step 6: Final answer
    x = 306,676.21

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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.