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Finding the Fourth Proportional to 459,052.80, 688,552.48 and 206,268

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Solution

The fourth proportional to 459,052.80, 688,552.48 and 206,268 is: 309,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,052.80 : 688,552.48 = 206,268 : x
  2. Step 2: Convert to fraction form
    459,052.80/688,552.48 = 206,268/x
  3. Step 3: Cross multiply
    459,052.80x = 688,552.48 × 206,268
  4. Step 4: Simplify right side
    459,052.80x = 142,026,342,944.64
  5. Step 5: Solve for x
    x = 142,026,342,944.64/459,052.80
  6. Step 6: Final answer
    x = 309,389.99

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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.