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Finding the Fourth Proportional to 229,354, 316,508.70 and 128,784.40

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Solution

The fourth proportional to 229,354, 316,508.70 and 128,784.40 is: 177,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354 : 316,508.70 = 128,784.40 : x
  2. Step 2: Convert to fraction form
    229,354/316,508.70 = 128,784.40/x
  3. Step 3: Cross multiply
    229,354x = 316,508.70 × 128,784.40
  4. Step 4: Simplify right side
    229,354x = 40,761,383,024.28
  5. Step 5: Solve for x
    x = 40,761,383,024.28/229,354
  6. Step 6: Final answer
    x = 177,722.57

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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.