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Finding the Fourth Proportional to 259,335.84, 388,336.86 and 208,495.92

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Solution

The fourth proportional to 259,335.84, 388,336.86 and 208,495.92 is: 312,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,335.84 : 388,336.86 = 208,495.92 : x
  2. Step 2: Convert to fraction form
    259,335.84/388,336.86 = 208,495.92/x
  3. Step 3: Cross multiply
    259,335.84x = 388,336.86 × 208,495.92
  4. Step 4: Simplify right side
    259,335.84x = 80,966,650,895.61
  5. Step 5: Solve for x
    x = 80,966,650,895.61/259,335.84
  6. Step 6: Final answer
    x = 312,207.72

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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.