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Finding the Fourth Proportional to 298,444.30, 447,066.84 and 148,230.20

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Solution

The fourth proportional to 298,444.30, 447,066.84 and 148,230.20 is: 222,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,444.30 : 447,066.84 = 148,230.20 : x
  2. Step 2: Convert to fraction form
    298,444.30/447,066.84 = 148,230.20/x
  3. Step 3: Cross multiply
    298,444.30x = 447,066.84 × 148,230.20
  4. Step 4: Simplify right side
    298,444.30x = 66,268,807,106.57
  5. Step 5: Solve for x
    x = 66,268,807,106.57/298,444.30
  6. Step 6: Final answer
    x = 222,047.49

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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.