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Finding the Fourth Proportional to 205,680.70, 308,521.05 and 175,500.10

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Solution

The fourth proportional to 205,680.70, 308,521.05 and 175,500.10 is: 263,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,680.70 : 308,521.05 = 175,500.10 : x
  2. Step 2: Convert to fraction form
    205,680.70/308,521.05 = 175,500.10/x
  3. Step 3: Cross multiply
    205,680.70x = 308,521.05 × 175,500.10
  4. Step 4: Simplify right side
    205,680.70x = 54,145,475,127.11
  5. Step 5: Solve for x
    x = 54,145,475,127.11/205,680.70
  6. Step 6: Final answer
    x = 263,250.15

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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.