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Finding the Fourth Proportional to 513,898.60, 770,847.90 and 324,941.80

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Solution

The fourth proportional to 513,898.60, 770,847.90 and 324,941.80 is: 487,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,898.60 : 770,847.90 = 324,941.80 : x
  2. Step 2: Convert to fraction form
    513,898.60/770,847.90 = 324,941.80/x
  3. Step 3: Cross multiply
    513,898.60x = 770,847.90 × 324,941.80
  4. Step 4: Simplify right side
    513,898.60x = 250,480,704,152.22
  5. Step 5: Solve for x
    x = 250,480,704,152.22/513,898.60
  6. Step 6: Final answer
    x = 487,412.70

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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.