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Finding the Fourth Proportional to 346,166, 477,760.92 and 212,107.76

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Solution

The fourth proportional to 346,166, 477,760.92 and 212,107.76 is: 292,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,166 : 477,760.92 = 212,107.76 : x
  2. Step 2: Convert to fraction form
    346,166/477,760.92 = 212,107.76/x
  3. Step 3: Cross multiply
    346,166x = 477,760.92 × 212,107.76
  4. Step 4: Simplify right side
    346,166x = 101,336,798,556.74
  5. Step 5: Solve for x
    x = 101,336,798,556.74/346,166
  6. Step 6: Final answer
    x = 292,740.47

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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.