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Finding the Fourth Proportional to 221,142.79, 304,935.88 and 149,398.24

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Solution

The fourth proportional to 221,142.79, 304,935.88 and 149,398.24 is: 206,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,142.79 : 304,935.88 = 149,398.24 : x
  2. Step 2: Convert to fraction form
    221,142.79/304,935.88 = 149,398.24/x
  3. Step 3: Cross multiply
    221,142.79x = 304,935.88 × 149,398.24
  4. Step 4: Simplify right side
    221,142.79x = 45,556,883,784.85
  5. Step 5: Solve for x
    x = 45,556,883,784.85/221,142.79
  6. Step 6: Final answer
    x = 206,006.64

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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.