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Finding the Fourth Proportional to 533,645.20, 800,921.40 and 218,328.40

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Solution

The fourth proportional to 533,645.20, 800,921.40 and 218,328.40 is: 327,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,645.20 : 800,921.40 = 218,328.40 : x
  2. Step 2: Convert to fraction form
    533,645.20/800,921.40 = 218,328.40/x
  3. Step 3: Cross multiply
    533,645.20x = 800,921.40 × 218,328.40
  4. Step 4: Simplify right side
    533,645.20x = 174,863,887,787.76
  5. Step 5: Solve for x
    x = 174,863,887,787.76/533,645.20
  6. Step 6: Final answer
    x = 327,678.18

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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.