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Finding the Fourth Proportional to 459,930.28, 689,895.66 and 206,915.32

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Solution

The fourth proportional to 459,930.28, 689,895.66 and 206,915.32 is: 310,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,930.28 : 689,895.66 = 206,915.32 : x
  2. Step 2: Convert to fraction form
    459,930.28/689,895.66 = 206,915.32/x
  3. Step 3: Cross multiply
    459,930.28x = 689,895.66 × 206,915.32
  4. Step 4: Simplify right side
    459,930.28x = 142,749,981,255.51
  5. Step 5: Solve for x
    x = 142,749,981,255.51/459,930.28
  6. Step 6: Final answer
    x = 310,373.09

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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.