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Finding the Fourth Proportional to 311,898.30, 467,847.45 and 292,215.30

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Solution

The fourth proportional to 311,898.30, 467,847.45 and 292,215.30 is: 438,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,898.30 : 467,847.45 = 292,215.30 : x
  2. Step 2: Convert to fraction form
    311,898.30/467,847.45 = 292,215.30/x
  3. Step 3: Cross multiply
    311,898.30x = 467,847.45 × 292,215.30
  4. Step 4: Simplify right side
    311,898.30x = 136,712,182,955.99
  5. Step 5: Solve for x
    x = 136,712,182,955.99/311,898.30
  6. Step 6: Final answer
    x = 438,322.95

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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.