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Finding the Fourth Proportional to 419,208, 578,550.78 and 237,968.88

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Solution

The fourth proportional to 419,208, 578,550.78 and 237,968.88 is: 328,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,208 : 578,550.78 = 237,968.88 : x
  2. Step 2: Convert to fraction form
    419,208/578,550.78 = 237,968.88/x
  3. Step 3: Cross multiply
    419,208x = 578,550.78 × 237,968.88
  4. Step 4: Simplify right side
    419,208x = 137,677,081,139.73
  5. Step 5: Solve for x
    x = 137,677,081,139.73/419,208
  6. Step 6: Final answer
    x = 328,421.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.