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Finding the Fourth Proportional to 295,286.40, 442,929.60 and 117,820.80

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Solution

The fourth proportional to 295,286.40, 442,929.60 and 117,820.80 is: 176,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,286.40 : 442,929.60 = 117,820.80 : x
  2. Step 2: Convert to fraction form
    295,286.40/442,929.60 = 117,820.80/x
  3. Step 3: Cross multiply
    295,286.40x = 442,929.60 × 117,820.80
  4. Step 4: Simplify right side
    295,286.40x = 52,186,319,815.68
  5. Step 5: Solve for x
    x = 52,186,319,815.68/295,286.40
  6. Step 6: Final answer
    x = 176,731.20

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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.