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Finding the Fourth Proportional to 205,710.70, 308,566.05 and 170,718.70

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Solution

The fourth proportional to 205,710.70, 308,566.05 and 170,718.70 is: 256,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,710.70 : 308,566.05 = 170,718.70 : x
  2. Step 2: Convert to fraction form
    205,710.70/308,566.05 = 170,718.70/x
  3. Step 3: Cross multiply
    205,710.70x = 308,566.05 × 170,718.70
  4. Step 4: Simplify right side
    205,710.70x = 52,677,994,920.14
  5. Step 5: Solve for x
    x = 52,677,994,920.14/205,710.70
  6. Step 6: Final answer
    x = 256,078.05

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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.