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Finding the Fourth Proportional to 302,454.63, 417,384.18 and 166,485.65

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Solution

The fourth proportional to 302,454.63, 417,384.18 and 166,485.65 is: 229,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,454.63 : 417,384.18 = 166,485.65 : x
  2. Step 2: Convert to fraction form
    302,454.63/417,384.18 = 166,485.65/x
  3. Step 3: Cross multiply
    302,454.63x = 417,384.18 × 166,485.65
  4. Step 4: Simplify right side
    302,454.63x = 69,488,474,420.10
  5. Step 5: Solve for x
    x = 69,488,474,420.10/302,454.63
  6. Step 6: Final answer
    x = 229,748.42

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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.