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Finding the Fourth Proportional to 493,719.38, 740,606.73 and 138,705.71

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Solution

The fourth proportional to 493,719.38, 740,606.73 and 138,705.71 is: 208,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,719.38 : 740,606.73 = 138,705.71 : x
  2. Step 2: Convert to fraction form
    493,719.38/740,606.73 = 138,705.71/x
  3. Step 3: Cross multiply
    493,719.38x = 740,606.73 × 138,705.71
  4. Step 4: Simplify right side
    493,719.38x = 102,726,382,315.43
  5. Step 5: Solve for x
    x = 102,726,382,315.43/493,719.38
  6. Step 6: Final answer
    x = 208,066.34

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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.