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Finding the Fourth Proportional to 493,395.71, 680,902.59 and 302,372.21

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Solution

The fourth proportional to 493,395.71, 680,902.59 and 302,372.21 is: 417,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,395.71 : 680,902.59 = 302,372.21 : x
  2. Step 2: Convert to fraction form
    493,395.71/680,902.59 = 302,372.21/x
  3. Step 3: Cross multiply
    493,395.71x = 680,902.59 × 302,372.21
  4. Step 4: Simplify right side
    493,395.71x = 205,886,020,933.02
  5. Step 5: Solve for x
    x = 205,886,020,933.02/493,395.71
  6. Step 6: Final answer
    x = 417,283.77

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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.