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Finding the Fourth Proportional to 513,392.79, 769,447.13 and 247,082.07

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Solution

The fourth proportional to 513,392.79, 769,447.13 and 247,082.07 is: 370,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,392.79 : 769,447.13 = 247,082.07 : x
  2. Step 2: Convert to fraction form
    513,392.79/769,447.13 = 247,082.07/x
  3. Step 3: Cross multiply
    513,392.79x = 769,447.13 × 247,082.07
  4. Step 4: Simplify right side
    513,392.79x = 190,116,588,400.55
  5. Step 5: Solve for x
    x = 190,116,588,400.55/513,392.79
  6. Step 6: Final answer
    x = 370,314.10

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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.