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Finding the Fourth Proportional to 311,881.80, 466,838.55 and 302,040.30

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Solution

The fourth proportional to 311,881.80, 466,838.55 and 302,040.30 is: 452,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,881.80 : 466,838.55 = 302,040.30 : x
  2. Step 2: Convert to fraction form
    311,881.80/466,838.55 = 302,040.30/x
  3. Step 3: Cross multiply
    311,881.80x = 466,838.55 × 302,040.30
  4. Step 4: Simplify right side
    311,881.80x = 141,004,055,693.57
  5. Step 5: Solve for x
    x = 141,004,055,693.57/311,881.80
  6. Step 6: Final answer
    x = 452,107.36

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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.