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Finding the Fourth Proportional to 459,206.96, 688,809.48 and 126,782

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Solution

The fourth proportional to 459,206.96, 688,809.48 and 126,782 is: 190,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,206.96 : 688,809.48 = 126,782 : x
  2. Step 2: Convert to fraction form
    459,206.96/688,809.48 = 126,782/x
  3. Step 3: Cross multiply
    459,206.96x = 688,809.48 × 126,782
  4. Step 4: Simplify right side
    459,206.96x = 87,328,643,493.36
  5. Step 5: Solve for x
    x = 87,328,643,493.36/459,206.96
  6. Step 6: Final answer
    x = 190,172.73

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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.