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Finding the Fourth Proportional to 243,208.09, 364,064.37 and 207,335.71

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Solution

The fourth proportional to 243,208.09, 364,064.37 and 207,335.71 is: 310,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,208.09 : 364,064.37 = 207,335.71 : x
  2. Step 2: Convert to fraction form
    243,208.09/364,064.37 = 207,335.71/x
  3. Step 3: Cross multiply
    243,208.09x = 364,064.37 × 207,335.71
  4. Step 4: Simplify right side
    243,208.09x = 75,483,544,639.65
  5. Step 5: Solve for x
    x = 75,483,544,639.65/243,208.09
  6. Step 6: Final answer
    x = 310,366.09

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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.