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Finding the Fourth Proportional to 302,780, 417,836.80 and 164,958.24

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Solution

The fourth proportional to 302,780, 417,836.80 and 164,958.24 is: 227,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,780 : 417,836.80 = 164,958.24 : x
  2. Step 2: Convert to fraction form
    302,780/417,836.80 = 164,958.24/x
  3. Step 3: Cross multiply
    302,780x = 417,836.80 × 164,958.24
  4. Step 4: Simplify right side
    302,780x = 68,925,623,135.23
  5. Step 5: Solve for x
    x = 68,925,623,135.23/302,780
  6. Step 6: Final answer
    x = 227,642.59

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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.