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Finding the Fourth Proportional to 457,113.54, 686,112.57 and 220,622.70

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Solution

The fourth proportional to 457,113.54, 686,112.57 and 220,622.70 is: 331,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,113.54 : 686,112.57 = 220,622.70 : x
  2. Step 2: Convert to fraction form
    457,113.54/686,112.57 = 220,622.70/x
  3. Step 3: Cross multiply
    457,113.54x = 686,112.57 × 220,622.70
  4. Step 4: Simplify right side
    457,113.54x = 151,372,007,697.34
  5. Step 5: Solve for x
    x = 151,372,007,697.34/457,113.54
  6. Step 6: Final answer
    x = 331,147.50

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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.