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Finding the Fourth Proportional to 208,315.80, 310,644.45 and 206,421.30

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Solution

The fourth proportional to 208,315.80, 310,644.45 and 206,421.30 is: 307,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.80 : 310,644.45 = 206,421.30 : x
  2. Step 2: Convert to fraction form
    208,315.80/310,644.45 = 206,421.30/x
  3. Step 3: Cross multiply
    208,315.80x = 310,644.45 × 206,421.30
  4. Step 4: Simplify right side
    208,315.80x = 64,123,631,206.79
  5. Step 5: Solve for x
    x = 64,123,631,206.79/208,315.80
  6. Step 6: Final answer
    x = 307,819.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.