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Finding the Fourth Proportional to 520,050.42, 780,045.93 and 200,138.76

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Solution

The fourth proportional to 520,050.42, 780,045.93 and 200,138.76 is: 300,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,050.42 : 780,045.93 = 200,138.76 : x
  2. Step 2: Convert to fraction form
    520,050.42/780,045.93 = 200,138.76/x
  3. Step 3: Cross multiply
    520,050.42x = 780,045.93 × 200,138.76
  4. Step 4: Simplify right side
    520,050.42x = 156,117,425,173.25
  5. Step 5: Solve for x
    x = 156,117,425,173.25/520,050.42
  6. Step 6: Final answer
    x = 300,196.71

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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.