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Finding the Fourth Proportional to 553,117.60, 829,093.20 and 315,949.60

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Solution

The fourth proportional to 553,117.60, 829,093.20 and 315,949.60 is: 473,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,117.60 : 829,093.20 = 315,949.60 : x
  2. Step 2: Convert to fraction form
    553,117.60/829,093.20 = 315,949.60/x
  3. Step 3: Cross multiply
    553,117.60x = 829,093.20 × 315,949.60
  4. Step 4: Simplify right side
    553,117.60x = 261,951,664,902.72
  5. Step 5: Solve for x
    x = 261,951,664,902.72/553,117.60
  6. Step 6: Final answer
    x = 473,591.27

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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.