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Finding the Fourth Proportional to 459,805.60, 689,700.35 and 206,907.10

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Solution

The fourth proportional to 459,805.60, 689,700.35 and 206,907.10 is: 310,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,805.60 : 689,700.35 = 206,907.10 : x
  2. Step 2: Convert to fraction form
    459,805.60/689,700.35 = 206,907.10/x
  3. Step 3: Cross multiply
    459,805.60x = 689,700.35 × 206,907.10
  4. Step 4: Simplify right side
    459,805.60x = 142,703,899,287.49
  5. Step 5: Solve for x
    x = 142,703,899,287.49/459,805.60
  6. Step 6: Final answer
    x = 310,357.03

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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.