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Finding the Fourth Proportional to 520,008, 780,012 and 126,024

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Solution

The fourth proportional to 520,008, 780,012 and 126,024 is: 189,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,008 : 780,012 = 126,024 : x
  2. Step 2: Convert to fraction form
    520,008/780,012 = 126,024/x
  3. Step 3: Cross multiply
    520,008x = 780,012 × 126,024
  4. Step 4: Simplify right side
    520,008x = 98,300,232,288
  5. Step 5: Solve for x
    x = 98,300,232,288/520,008
  6. Step 6: Final answer
    x = 189,036

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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.