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Finding the Fourth Proportional to 493,878.13, 681,537.86 and 289,925.80

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Solution

The fourth proportional to 493,878.13, 681,537.86 and 289,925.80 is: 400,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,878.13 : 681,537.86 = 289,925.80 : x
  2. Step 2: Convert to fraction form
    493,878.13/681,537.86 = 289,925.80/x
  3. Step 3: Cross multiply
    493,878.13x = 681,537.86 × 289,925.80
  4. Step 4: Simplify right side
    493,878.13x = 197,595,409,290.79
  5. Step 5: Solve for x
    x = 197,595,409,290.79/493,878.13
  6. Step 6: Final answer
    x = 400,089.41

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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.