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Finding the Fourth Proportional to 513,532.13, 769,998.68 and 213,653.35

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Solution

The fourth proportional to 513,532.13, 769,998.68 and 213,653.35 is: 320,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,532.13 : 769,998.68 = 213,653.35 : x
  2. Step 2: Convert to fraction form
    513,532.13/769,998.68 = 213,653.35/x
  3. Step 3: Cross multiply
    513,532.13x = 769,998.68 × 213,653.35
  4. Step 4: Simplify right side
    513,532.13x = 164,512,792,559.32
  5. Step 5: Solve for x
    x = 164,512,792,559.32/513,532.13
  6. Step 6: Final answer
    x = 320,355.40

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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.