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Finding the Fourth Proportional to 311,921.40, 467,882.10 and 292,238.40

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Solution

The fourth proportional to 311,921.40, 467,882.10 and 292,238.40 is: 438,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.40 : 467,882.10 = 292,238.40 : x
  2. Step 2: Convert to fraction form
    311,921.40/467,882.10 = 292,238.40/x
  3. Step 3: Cross multiply
    311,921.40x = 467,882.10 × 292,238.40
  4. Step 4: Simplify right side
    311,921.40x = 136,733,116,292.64
  5. Step 5: Solve for x
    x = 136,733,116,292.64/311,921.40
  6. Step 6: Final answer
    x = 438,357.60

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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.