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Finding the Fourth Proportional to 401,819.80, 602,729.70 and 165,083.80

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Solution

The fourth proportional to 401,819.80, 602,729.70 and 165,083.80 is: 247,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,819.80 : 602,729.70 = 165,083.80 : x
  2. Step 2: Convert to fraction form
    401,819.80/602,729.70 = 165,083.80/x
  3. Step 3: Cross multiply
    401,819.80x = 602,729.70 × 165,083.80
  4. Step 4: Simplify right side
    401,819.80x = 99,500,909,248.86
  5. Step 5: Solve for x
    x = 99,500,909,248.86/401,819.80
  6. Step 6: Final answer
    x = 247,625.70

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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.