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Finding the Fourth Proportional to 272,019.40, 408,029.10 and 188,038.60

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Solution

The fourth proportional to 272,019.40, 408,029.10 and 188,038.60 is: 282,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,019.40 : 408,029.10 = 188,038.60 : x
  2. Step 2: Convert to fraction form
    272,019.40/408,029.10 = 188,038.60/x
  3. Step 3: Cross multiply
    272,019.40x = 408,029.10 × 188,038.60
  4. Step 4: Simplify right side
    272,019.40x = 76,725,220,723.26
  5. Step 5: Solve for x
    x = 76,725,220,723.26/272,019.40
  6. Step 6: Final answer
    x = 282,057.90

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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.