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Finding the Fourth Proportional to 520,180, 780,270.32 and 126,196

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Solution

The fourth proportional to 520,180, 780,270.32 and 126,196 is: 189,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,180 : 780,270.32 = 126,196 : x
  2. Step 2: Convert to fraction form
    520,180/780,270.32 = 126,196/x
  3. Step 3: Cross multiply
    520,180x = 780,270.32 × 126,196
  4. Step 4: Simplify right side
    520,180x = 98,466,993,302.72
  5. Step 5: Solve for x
    x = 98,466,993,302.72/520,180
  6. Step 6: Final answer
    x = 189,294.08

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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.