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Finding the Fourth Proportional to 272,196.95, 407,992.88 and 205,420.55

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Solution

The fourth proportional to 272,196.95, 407,992.88 and 205,420.55 is: 307,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,196.95 : 407,992.88 = 205,420.55 : x
  2. Step 2: Convert to fraction form
    272,196.95/407,992.88 = 205,420.55/x
  3. Step 3: Cross multiply
    272,196.95x = 407,992.88 × 205,420.55
  4. Step 4: Simplify right side
    272,196.95x = 83,810,120,279.27
  5. Step 5: Solve for x
    x = 83,810,120,279.27/272,196.95
  6. Step 6: Final answer
    x = 307,902.50

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1.5x scale

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.