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Finding the Fourth Proportional to 228,996, 316,014.48 and 128,394

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Solution

The fourth proportional to 228,996, 316,014.48 and 128,394 is: 177,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,996 : 316,014.48 = 128,394 : x
  2. Step 2: Convert to fraction form
    228,996/316,014.48 = 128,394/x
  3. Step 3: Cross multiply
    228,996x = 316,014.48 × 128,394
  4. Step 4: Simplify right side
    228,996x = 40,574,363,145.12
  5. Step 5: Solve for x
    x = 40,574,363,145.12/228,996
  6. Step 6: Final answer
    x = 177,183.72

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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.