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Finding the Fourth Proportional to 613,285.84, 919,594.86 and 213,819.22

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Solution

The fourth proportional to 613,285.84, 919,594.86 and 213,819.22 is: 320,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,285.84 : 919,594.86 = 213,819.22 : x
  2. Step 2: Convert to fraction form
    613,285.84/919,594.86 = 213,819.22/x
  3. Step 3: Cross multiply
    613,285.84x = 919,594.86 × 213,819.22
  4. Step 4: Simplify right side
    613,285.84x = 196,627,055,681.21
  5. Step 5: Solve for x
    x = 196,627,055,681.21/613,285.84
  6. Step 6: Final answer
    x = 320,612.42

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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.