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Finding the Fourth Proportional to 297,881.40, 446,822.10 and 278,052.60

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Solution

The fourth proportional to 297,881.40, 446,822.10 and 278,052.60 is: 417,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,881.40 : 446,822.10 = 278,052.60 : x
  2. Step 2: Convert to fraction form
    297,881.40/446,822.10 = 278,052.60/x
  3. Step 3: Cross multiply
    297,881.40x = 446,822.10 × 278,052.60
  4. Step 4: Simplify right side
    297,881.40x = 124,240,046,642.46
  5. Step 5: Solve for x
    x = 124,240,046,642.46/297,881.40
  6. Step 6: Final answer
    x = 417,078.90

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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.