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Finding the Fourth Proportional to 459,401.60, 689,260.20 and 206,859.20

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Solution

The fourth proportional to 459,401.60, 689,260.20 and 206,859.20 is: 310,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,401.60 : 689,260.20 = 206,859.20 : x
  2. Step 2: Convert to fraction form
    459,401.60/689,260.20 = 206,859.20/x
  3. Step 3: Cross multiply
    459,401.60x = 689,260.20 × 206,859.20
  4. Step 4: Simplify right side
    459,401.60x = 142,579,813,563.84
  5. Step 5: Solve for x
    x = 142,579,813,563.84/459,401.60
  6. Step 6: Final answer
    x = 310,359.85

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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.