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Finding the Fourth Proportional to 459,841.69, 689,754.57 and 206,943.22

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Solution

The fourth proportional to 459,841.69, 689,754.57 and 206,943.22 is: 310,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,841.69 : 689,754.57 = 206,943.22 : x
  2. Step 2: Convert to fraction form
    459,841.69/689,754.57 = 206,943.22/x
  3. Step 3: Cross multiply
    459,841.69x = 689,754.57 × 206,943.22
  4. Step 4: Simplify right side
    459,841.69x = 142,740,031,725.52
  5. Step 5: Solve for x
    x = 142,740,031,725.52/459,841.69
  6. Step 6: Final answer
    x = 310,411.25

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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.