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Finding the Fourth Proportional to 519,065.68, 716,311.20 and 304,162.96

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Solution

The fourth proportional to 519,065.68, 716,311.20 and 304,162.96 is: 419,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,065.68 : 716,311.20 = 304,162.96 : x
  2. Step 2: Convert to fraction form
    519,065.68/716,311.20 = 304,162.96/x
  3. Step 3: Cross multiply
    519,065.68x = 716,311.20 × 304,162.96
  4. Step 4: Simplify right side
    519,065.68x = 217,875,334,873.15
  5. Step 5: Solve for x
    x = 217,875,334,873.15/519,065.68
  6. Step 6: Final answer
    x = 419,745.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.