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Finding the Fourth Proportional to 298,134.60, 447,201.90 and 268,643.40

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Solution

The fourth proportional to 298,134.60, 447,201.90 and 268,643.40 is: 402,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,134.60 : 447,201.90 = 268,643.40 : x
  2. Step 2: Convert to fraction form
    298,134.60/447,201.90 = 268,643.40/x
  3. Step 3: Cross multiply
    298,134.60x = 447,201.90 × 268,643.40
  4. Step 4: Simplify right side
    298,134.60x = 120,137,838,902.46
  5. Step 5: Solve for x
    x = 120,137,838,902.46/298,134.60
  6. Step 6: Final answer
    x = 402,965.10

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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.