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Finding the Fourth Proportional to 302,574.71, 417,556.19 and 166,621.30

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Solution

The fourth proportional to 302,574.71, 417,556.19 and 166,621.30 is: 229,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,574.71 : 417,556.19 = 166,621.30 : x
  2. Step 2: Convert to fraction form
    302,574.71/417,556.19 = 166,621.30/x
  3. Step 3: Cross multiply
    302,574.71x = 417,556.19 × 166,621.30
  4. Step 4: Simplify right side
    302,574.71x = 69,573,755,200.85
  5. Step 5: Solve for x
    x = 69,573,755,200.85/302,574.71
  6. Step 6: Final answer
    x = 229,939.10

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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.