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Finding the Fourth Proportional to 298,889.20, 412,454.64 and 162,920.17

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Solution

The fourth proportional to 298,889.20, 412,454.64 and 162,920.17 is: 224,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,889.20 : 412,454.64 = 162,920.17 : x
  2. Step 2: Convert to fraction form
    298,889.20/412,454.64 = 162,920.17/x
  3. Step 3: Cross multiply
    298,889.20x = 412,454.64 × 162,920.17
  4. Step 4: Simplify right side
    298,889.20x = 67,197,180,066.09
  5. Step 5: Solve for x
    x = 67,197,180,066.09/298,889.20
  6. Step 6: Final answer
    x = 224,823.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.