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Finding the Fourth Proportional to 302,179.61, 417,015.72 and 166,217.06

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Solution

The fourth proportional to 302,179.61, 417,015.72 and 166,217.06 is: 229,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,179.61 : 417,015.72 = 166,217.06 : x
  2. Step 2: Convert to fraction form
    302,179.61/417,015.72 = 166,217.06/x
  3. Step 3: Cross multiply
    302,179.61x = 417,015.72 × 166,217.06
  4. Step 4: Simplify right side
    302,179.61x = 69,315,124,867.10
  5. Step 5: Solve for x
    x = 69,315,124,867.10/302,179.61
  6. Step 6: Final answer
    x = 229,383.86

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1.5x scale

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.