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Finding the Fourth Proportional to 229,359, 316,515.60 and 128,789.40

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Solution

The fourth proportional to 229,359, 316,515.60 and 128,789.40 is: 177,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,359 : 316,515.60 = 128,789.40 : x
  2. Step 2: Convert to fraction form
    229,359/316,515.60 = 128,789.40/x
  3. Step 3: Cross multiply
    229,359x = 316,515.60 × 128,789.40
  4. Step 4: Simplify right side
    229,359x = 40,763,854,214.64
  5. Step 5: Solve for x
    x = 40,763,854,214.64/229,359
  6. Step 6: Final answer
    x = 177,729.47

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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.