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Finding the Fourth Proportional to 295,459.70, 407,731.86 and 168,142.28

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Solution

The fourth proportional to 295,459.70, 407,731.86 and 168,142.28 is: 232,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,459.70 : 407,731.86 = 168,142.28 : x
  2. Step 2: Convert to fraction form
    295,459.70/407,731.86 = 168,142.28/x
  3. Step 3: Cross multiply
    295,459.70x = 407,731.86 × 168,142.28
  4. Step 4: Simplify right side
    295,459.70x = 68,556,962,530.38
  5. Step 5: Solve for x
    x = 68,556,962,530.38/295,459.70
  6. Step 6: Final answer
    x = 232,034.91

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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.