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Finding the Fourth Proportional to 331,649.80, 457,678.27 and 188,417.70

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Solution

The fourth proportional to 331,649.80, 457,678.27 and 188,417.70 is: 260,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,649.80 : 457,678.27 = 188,417.70 : x
  2. Step 2: Convert to fraction form
    331,649.80/457,678.27 = 188,417.70/x
  3. Step 3: Cross multiply
    331,649.80x = 457,678.27 × 188,417.70
  4. Step 4: Simplify right side
    331,649.80x = 86,234,686,502.33
  5. Step 5: Solve for x
    x = 86,234,686,502.33/331,649.80
  6. Step 6: Final answer
    x = 260,017.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.