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Finding the Fourth Proportional to 459,000.30, 688,026.60 and 206,401.80

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Solution

The fourth proportional to 459,000.30, 688,026.60 and 206,401.80 is: 309,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,000.30 : 688,026.60 = 206,401.80 : x
  2. Step 2: Convert to fraction form
    459,000.30/688,026.60 = 206,401.80/x
  3. Step 3: Cross multiply
    459,000.30x = 688,026.60 × 206,401.80
  4. Step 4: Simplify right side
    459,000.30x = 142,009,928,687.88
  5. Step 5: Solve for x
    x = 142,009,928,687.88/459,000.30
  6. Step 6: Final answer
    x = 309,389.62

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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.