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Finding the Fourth Proportional to 297,978.35, 411,209.76 and 162,011.95

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Solution

The fourth proportional to 297,978.35, 411,209.76 and 162,011.95 is: 223,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,978.35 : 411,209.76 = 162,011.95 : x
  2. Step 2: Convert to fraction form
    297,978.35/411,209.76 = 162,011.95/x
  3. Step 3: Cross multiply
    297,978.35x = 411,209.76 × 162,011.95
  4. Step 4: Simplify right side
    297,978.35x = 66,620,894,656.15
  5. Step 5: Solve for x
    x = 66,620,894,656.15/297,978.35
  6. Step 6: Final answer
    x = 223,576.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.