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Finding the Fourth Proportional to 304,623, 420,321.42 and 197,178.12

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Solution

The fourth proportional to 304,623, 420,321.42 and 197,178.12 is: 272,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,623 : 420,321.42 = 197,178.12 : x
  2. Step 2: Convert to fraction form
    304,623/420,321.42 = 197,178.12/x
  3. Step 3: Cross multiply
    304,623x = 420,321.42 × 197,178.12
  4. Step 4: Simplify right side
    304,623x = 82,878,187,391.33
  5. Step 5: Solve for x
    x = 82,878,187,391.33/304,623
  6. Step 6: Final answer
    x = 272,068.06

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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.