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Finding the Fourth Proportional to 493,395.21, 680,901.90 and 302,371.71

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Solution

The fourth proportional to 493,395.21, 680,901.90 and 302,371.71 is: 417,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,395.21 : 680,901.90 = 302,371.71 : x
  2. Step 2: Convert to fraction form
    493,395.21/680,901.90 = 302,371.71/x
  3. Step 3: Cross multiply
    493,395.21x = 680,901.90 × 302,371.71
  4. Step 4: Simplify right side
    493,395.21x = 205,885,471,845.25
  5. Step 5: Solve for x
    x = 205,885,471,845.25/493,395.21
  6. Step 6: Final answer
    x = 417,283.08

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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.