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Finding the Fourth Proportional to 298,412.49, 412,179.11 and 216,610.05

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Solution

The fourth proportional to 298,412.49, 412,179.11 and 216,610.05 is: 299,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412.49 : 412,179.11 = 216,610.05 : x
  2. Step 2: Convert to fraction form
    298,412.49/412,179.11 = 216,610.05/x
  3. Step 3: Cross multiply
    298,412.49x = 412,179.11 × 216,610.05
  4. Step 4: Simplify right side
    298,412.49x = 89,282,134,482.11
  5. Step 5: Solve for x
    x = 89,282,134,482.11/298,412.49
  6. Step 6: Final answer
    x = 299,190.35

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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.