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Finding the Fourth Proportional to 520,013.20, 780,019.80 and 295,286.80

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Solution

The fourth proportional to 520,013.20, 780,019.80 and 295,286.80 is: 442,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,013.20 : 780,019.80 = 295,286.80 : x
  2. Step 2: Convert to fraction form
    520,013.20/780,019.80 = 295,286.80/x
  3. Step 3: Cross multiply
    520,013.20x = 780,019.80 × 295,286.80
  4. Step 4: Simplify right side
    520,013.20x = 230,329,550,678.64
  5. Step 5: Solve for x
    x = 230,329,550,678.64/520,013.20
  6. Step 6: Final answer
    x = 442,930.20

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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.