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Finding the Fourth Proportional to 229,090, 316,282.44 and 149,740.24

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Solution

The fourth proportional to 229,090, 316,282.44 and 149,740.24 is: 206,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,090 : 316,282.44 = 149,740.24 : x
  2. Step 2: Convert to fraction form
    229,090/316,282.44 = 149,740.24/x
  3. Step 3: Cross multiply
    229,090x = 316,282.44 × 149,740.24
  4. Step 4: Simplify right side
    229,090x = 47,360,208,473.39
  5. Step 5: Solve for x
    x = 47,360,208,473.39/229,090
  6. Step 6: Final answer
    x = 206,731.89

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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.