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Finding the Fourth Proportional to 272,006.20, 408,009.30 and 209,798.20

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Solution

The fourth proportional to 272,006.20, 408,009.30 and 209,798.20 is: 314,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,006.20 : 408,009.30 = 209,798.20 : x
  2. Step 2: Convert to fraction form
    272,006.20/408,009.30 = 209,798.20/x
  3. Step 3: Cross multiply
    272,006.20x = 408,009.30 × 209,798.20
  4. Step 4: Simplify right side
    272,006.20x = 85,599,616,723.26
  5. Step 5: Solve for x
    x = 85,599,616,723.26/272,006.20
  6. Step 6: Final answer
    x = 314,697.30

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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.