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Finding the Fourth Proportional to 520,236.90, 780,314.28 and 165,253.98

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Solution

The fourth proportional to 520,236.90, 780,314.28 and 165,253.98 is: 247,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,236.90 : 780,314.28 = 165,253.98 : x
  2. Step 2: Convert to fraction form
    520,236.90/780,314.28 = 165,253.98/x
  3. Step 3: Cross multiply
    520,236.90x = 780,314.28 × 165,253.98
  4. Step 4: Simplify right side
    520,236.90x = 128,950,040,420.83
  5. Step 5: Solve for x
    x = 128,950,040,420.83/520,236.90
  6. Step 6: Final answer
    x = 247,867.92

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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.