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Finding the Fourth Proportional to 459,782, 688,578.60 and 234,589.04

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Solution

The fourth proportional to 459,782, 688,578.60 and 234,589.04 is: 351,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,782 : 688,578.60 = 234,589.04 : x
  2. Step 2: Convert to fraction form
    459,782/688,578.60 = 234,589.04/x
  3. Step 3: Cross multiply
    459,782x = 688,578.60 × 234,589.04
  4. Step 4: Simplify right side
    459,782x = 161,532,992,738.54
  5. Step 5: Solve for x
    x = 161,532,992,738.54/459,782
  6. Step 6: Final answer
    x = 351,325.18

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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.