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Finding the Fourth Proportional to 272,117.40, 408,176.10 and 202,133.40

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Solution

The fourth proportional to 272,117.40, 408,176.10 and 202,133.40 is: 303,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,117.40 : 408,176.10 = 202,133.40 : x
  2. Step 2: Convert to fraction form
    272,117.40/408,176.10 = 202,133.40/x
  3. Step 3: Cross multiply
    272,117.40x = 408,176.10 × 202,133.40
  4. Step 4: Simplify right side
    272,117.40x = 82,506,022,891.74
  5. Step 5: Solve for x
    x = 82,506,022,891.74/272,117.40
  6. Step 6: Final answer
    x = 303,200.10

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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.