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Finding the Fourth Proportional to 459,800.69, 689,693.06 and 206,902.22

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Solution

The fourth proportional to 459,800.69, 689,693.06 and 206,902.22 is: 310,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,800.69 : 689,693.06 = 206,902.22 : x
  2. Step 2: Convert to fraction form
    459,800.69/689,693.06 = 206,902.22/x
  3. Step 3: Cross multiply
    459,800.69x = 689,693.06 × 206,902.22
  4. Step 4: Simplify right side
    459,800.69x = 142,699,022,301.38
  5. Step 5: Solve for x
    x = 142,699,022,301.38/459,800.69
  6. Step 6: Final answer
    x = 310,349.74

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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.