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Finding the Fourth Proportional to 513,247.12, 769,854.74 and 213,720.16

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Solution

The fourth proportional to 513,247.12, 769,854.74 and 213,720.16 is: 320,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,247.12 : 769,854.74 = 213,720.16 : x
  2. Step 2: Convert to fraction form
    513,247.12/769,854.74 = 213,720.16/x
  3. Step 3: Cross multiply
    513,247.12x = 769,854.74 × 213,720.16
  4. Step 4: Simplify right side
    513,247.12x = 164,533,478,209.56
  5. Step 5: Solve for x
    x = 164,533,478,209.56/513,247.12
  6. Step 6: Final answer
    x = 320,573.60

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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.