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Finding the Fourth Proportional to 546,905.22, 820,439.87 and 191,856.71

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Solution

The fourth proportional to 546,905.22, 820,439.87 and 191,856.71 is: 287,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,905.22 : 820,439.87 = 191,856.71 : x
  2. Step 2: Convert to fraction form
    546,905.22/820,439.87 = 191,856.71/x
  3. Step 3: Cross multiply
    546,905.22x = 820,439.87 × 191,856.71
  4. Step 4: Simplify right side
    546,905.22x = 157,406,889,149.55
  5. Step 5: Solve for x
    x = 157,406,889,149.55/546,905.22
  6. Step 6: Final answer
    x = 287,813.84

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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.