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Finding the Fourth Proportional to 229,428.81, 316,615.91 and 128,830.41

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Solution

The fourth proportional to 229,428.81, 316,615.91 and 128,830.41 is: 177,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,428.81 : 316,615.91 = 128,830.41 : x
  2. Step 2: Convert to fraction form
    229,428.81/316,615.91 = 128,830.41/x
  3. Step 3: Cross multiply
    229,428.81x = 316,615.91 × 128,830.41
  4. Step 4: Simplify right side
    229,428.81x = 40,789,756,853.67
  5. Step 5: Solve for x
    x = 40,789,756,853.67/229,428.81
  6. Step 6: Final answer
    x = 177,788.29

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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.