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Finding the Fourth Proportional to 459,915.45, 689,873.36 and 206,900.40

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Solution

The fourth proportional to 459,915.45, 689,873.36 and 206,900.40 is: 310,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,915.45 : 689,873.36 = 206,900.40 : x
  2. Step 2: Convert to fraction form
    459,915.45/689,873.36 = 206,900.40/x
  3. Step 3: Cross multiply
    459,915.45x = 689,873.36 × 206,900.40
  4. Step 4: Simplify right side
    459,915.45x = 142,735,073,098.84
  5. Step 5: Solve for x
    x = 142,735,073,098.84/459,915.45
  6. Step 6: Final answer
    x = 310,350.68

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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.