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Finding the Fourth Proportional to 461,200.70, 691,570.65 and 211,600.70

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Solution

The fourth proportional to 461,200.70, 691,570.65 and 211,600.70 is: 317,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,200.70 : 691,570.65 = 211,600.70 : x
  2. Step 2: Convert to fraction form
    461,200.70/691,570.65 = 211,600.70/x
  3. Step 3: Cross multiply
    461,200.70x = 691,570.65 × 211,600.70
  4. Step 4: Simplify right side
    461,200.70x = 146,336,833,639.46
  5. Step 5: Solve for x
    x = 146,336,833,639.46/461,200.70
  6. Step 6: Final answer
    x = 317,295.34

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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.