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Finding the Fourth Proportional to 513,416.64, 770,122.26 and 139,439.64

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Solution

The fourth proportional to 513,416.64, 770,122.26 and 139,439.64 is: 209,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,416.64 : 770,122.26 = 139,439.64 : x
  2. Step 2: Convert to fraction form
    513,416.64/770,122.26 = 139,439.64/x
  3. Step 3: Cross multiply
    513,416.64x = 770,122.26 × 139,439.64
  4. Step 4: Simplify right side
    513,416.64x = 107,385,570,690.39
  5. Step 5: Solve for x
    x = 107,385,570,690.39/513,416.64
  6. Step 6: Final answer
    x = 209,158.73

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1.5x scale

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.