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Finding the Fourth Proportional to 513,316, 769,974 and 213,937.60

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Solution

The fourth proportional to 513,316, 769,974 and 213,937.60 is: 320,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,316 : 769,974 = 213,937.60 : x
  2. Step 2: Convert to fraction form
    513,316/769,974 = 213,937.60/x
  3. Step 3: Cross multiply
    513,316x = 769,974 × 213,937.60
  4. Step 4: Simplify right side
    513,316x = 164,726,389,622.40
  5. Step 5: Solve for x
    x = 164,726,389,622.40/513,316
  6. Step 6: Final answer
    x = 320,906.40

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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.