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Finding the Fourth Proportional to 294,841.60, 442,262.40 and 81,609.10

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Solution

The fourth proportional to 294,841.60, 442,262.40 and 81,609.10 is: 122,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841.60 : 442,262.40 = 81,609.10 : x
  2. Step 2: Convert to fraction form
    294,841.60/442,262.40 = 81,609.10/x
  3. Step 3: Cross multiply
    294,841.60x = 442,262.40 × 81,609.10
  4. Step 4: Simplify right side
    294,841.60x = 36,092,636,427.84
  5. Step 5: Solve for x
    x = 36,092,636,427.84/294,841.60
  6. Step 6: Final answer
    x = 122,413.65

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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.