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Finding the Fourth Proportional to 513,847.45, 770,420.85 and 260,639.69

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Solution

The fourth proportional to 513,847.45, 770,420.85 and 260,639.69 is: 390,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,847.45 : 770,420.85 = 260,639.69 : x
  2. Step 2: Convert to fraction form
    513,847.45/770,420.85 = 260,639.69/x
  3. Step 3: Cross multiply
    513,847.45x = 770,420.85 × 260,639.69
  4. Step 4: Simplify right side
    513,847.45x = 200,802,248,133.96
  5. Step 5: Solve for x
    x = 200,802,248,133.96/513,847.45
  6. Step 6: Final answer
    x = 390,781.83

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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.