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Finding the Fourth Proportional to 319,593, 476,959.33 and 284,164.84

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Solution

The fourth proportional to 319,593, 476,959.33 and 284,164.84 is: 424,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,593 : 476,959.33 = 284,164.84 : x
  2. Step 2: Convert to fraction form
    319,593/476,959.33 = 284,164.84/x
  3. Step 3: Cross multiply
    319,593x = 476,959.33 × 284,164.84
  4. Step 4: Simplify right side
    319,593x = 135,535,071,695.96
  5. Step 5: Solve for x
    x = 135,535,071,695.96/319,593
  6. Step 6: Final answer
    x = 424,086.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.