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Finding the Fourth Proportional to 229,301.94, 316,419.33 and 128,680.50

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Solution

The fourth proportional to 229,301.94, 316,419.33 and 128,680.50 is: 177,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,301.94 : 316,419.33 = 128,680.50 : x
  2. Step 2: Convert to fraction form
    229,301.94/316,419.33 = 128,680.50/x
  3. Step 3: Cross multiply
    229,301.94x = 316,419.33 × 128,680.50
  4. Step 4: Simplify right side
    229,301.94x = 40,716,997,594.07
  5. Step 5: Solve for x
    x = 40,716,997,594.07/229,301.94
  6. Step 6: Final answer
    x = 177,569.36

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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.