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Finding the Fourth Proportional to 459,357.48, 688,587.13 and 206,701.57

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Solution

The fourth proportional to 459,357.48, 688,587.13 and 206,701.57 is: 309,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,357.48 : 688,587.13 = 206,701.57 : x
  2. Step 2: Convert to fraction form
    459,357.48/688,587.13 = 206,701.57/x
  3. Step 3: Cross multiply
    459,357.48x = 688,587.13 × 206,701.57
  4. Step 4: Simplify right side
    459,357.48x = 142,332,040,809.21
  5. Step 5: Solve for x
    x = 142,332,040,809.21/459,357.48
  6. Step 6: Final answer
    x = 309,850.27

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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.