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Finding the Fourth Proportional to 272,089.52, 407,455.50 and 171,947.60

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Solution

The fourth proportional to 272,089.52, 407,455.50 and 171,947.60 is: 257,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,089.52 : 407,455.50 = 171,947.60 : x
  2. Step 2: Convert to fraction form
    272,089.52/407,455.50 = 171,947.60/x
  3. Step 3: Cross multiply
    272,089.52x = 407,455.50 × 171,947.60
  4. Step 4: Simplify right side
    272,089.52x = 70,060,995,331.80
  5. Step 5: Solve for x
    x = 70,060,995,331.80/272,089.52
  6. Step 6: Final answer
    x = 257,492.44

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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.