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Finding the Fourth Proportional to 298,434.30, 447,051.84 and 148,220.20

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Solution

The fourth proportional to 298,434.30, 447,051.84 and 148,220.20 is: 222,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,434.30 : 447,051.84 = 148,220.20 : x
  2. Step 2: Convert to fraction form
    298,434.30/447,051.84 = 148,220.20/x
  3. Step 3: Cross multiply
    298,434.30x = 447,051.84 × 148,220.20
  4. Step 4: Simplify right side
    298,434.30x = 66,262,113,135.17
  5. Step 5: Solve for x
    x = 66,262,113,135.17/298,434.30
  6. Step 6: Final answer
    x = 222,032.50

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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.