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Finding the Fourth Proportional to 311,225.78, 466,848.26 and 121,678.58

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Solution

The fourth proportional to 311,225.78, 466,848.26 and 121,678.58 is: 182,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,225.78 : 466,848.26 = 121,678.58 : x
  2. Step 2: Convert to fraction form
    311,225.78/466,848.26 = 121,678.58/x
  3. Step 3: Cross multiply
    311,225.78x = 466,848.26 × 121,678.58
  4. Step 4: Simplify right side
    311,225.78x = 56,805,433,352.27
  5. Step 5: Solve for x
    x = 56,805,433,352.27/311,225.78
  6. Step 6: Final answer
    x = 182,521.62

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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.