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Finding the Fourth Proportional to 520,010, 780,015 and 126,026

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Solution

The fourth proportional to 520,010, 780,015 and 126,026 is: 189,039

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,010 : 780,015 = 126,026 : x
  2. Step 2: Convert to fraction form
    520,010/780,015 = 126,026/x
  3. Step 3: Cross multiply
    520,010x = 780,015 × 126,026
  4. Step 4: Simplify right side
    520,010x = 98,302,170,390
  5. Step 5: Solve for x
    x = 98,302,170,390/520,010
  6. Step 6: Final answer
    x = 189,039

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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.