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Finding the Fourth Proportional to 302,145.30, 416,970.70 and 166,189.76

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Solution

The fourth proportional to 302,145.30, 416,970.70 and 166,189.76 is: 229,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,145.30 : 416,970.70 = 166,189.76 : x
  2. Step 2: Convert to fraction form
    302,145.30/416,970.70 = 166,189.76/x
  3. Step 3: Cross multiply
    302,145.30x = 416,970.70 × 166,189.76
  4. Step 4: Simplify right side
    302,145.30x = 69,296,260,560.03
  5. Step 5: Solve for x
    x = 69,296,260,560.03/302,145.30
  6. Step 6: Final answer
    x = 229,347.47

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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.