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Finding the Fourth Proportional to 278,671.84, 384,517.20 and 165,522.40

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Solution

The fourth proportional to 278,671.84, 384,517.20 and 165,522.40 is: 228,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,671.84 : 384,517.20 = 165,522.40 : x
  2. Step 2: Convert to fraction form
    278,671.84/384,517.20 = 165,522.40/x
  3. Step 3: Cross multiply
    278,671.84x = 384,517.20 × 165,522.40
  4. Step 4: Simplify right side
    278,671.84x = 63,646,209,785.28
  5. Step 5: Solve for x
    x = 63,646,209,785.28/278,671.84
  6. Step 6: Final answer
    x = 228,391.25

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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.