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Finding the Fourth Proportional to 229,177, 316,265.34 and 128,575

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Solution

The fourth proportional to 229,177, 316,265.34 and 128,575 is: 177,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,177 : 316,265.34 = 128,575 : x
  2. Step 2: Convert to fraction form
    229,177/316,265.34 = 128,575/x
  3. Step 3: Cross multiply
    229,177x = 316,265.34 × 128,575
  4. Step 4: Simplify right side
    229,177x = 40,663,816,090.50
  5. Step 5: Solve for x
    x = 40,663,816,090.50/229,177
  6. Step 6: Final answer
    x = 177,434.11

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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.