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Finding the Fourth Proportional to 294,841.90, 442,262.85 and 289,921.15

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Solution

The fourth proportional to 294,841.90, 442,262.85 and 289,921.15 is: 434,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,841.90 : 442,262.85 = 289,921.15 : x
  2. Step 2: Convert to fraction form
    294,841.90/442,262.85 = 289,921.15/x
  3. Step 3: Cross multiply
    294,841.90x = 442,262.85 × 289,921.15
  4. Step 4: Simplify right side
    294,841.90x = 128,221,354,074.28
  5. Step 5: Solve for x
    x = 128,221,354,074.28/294,841.90
  6. Step 6: Final answer
    x = 434,881.73

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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.