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Finding the Fourth Proportional to 459,802.47, 689,695.66 and 206,903.97

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Solution

The fourth proportional to 459,802.47, 689,695.66 and 206,903.97 is: 310,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,802.47 : 689,695.66 = 206,903.97 : x
  2. Step 2: Convert to fraction form
    459,802.47/689,695.66 = 206,903.97/x
  3. Step 3: Cross multiply
    459,802.47x = 689,695.66 × 206,903.97
  4. Step 4: Simplify right side
    459,802.47x = 142,700,770,404.40
  5. Step 5: Solve for x
    x = 142,700,770,404.40/459,802.47
  6. Step 6: Final answer
    x = 310,352.33

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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.