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Finding the Fourth Proportional to 302,754.72, 417,770.10 and 186,449.70

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Solution

The fourth proportional to 302,754.72, 417,770.10 and 186,449.70 is: 257,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,754.72 : 417,770.10 = 186,449.70 : x
  2. Step 2: Convert to fraction form
    302,754.72/417,770.10 = 186,449.70/x
  3. Step 3: Cross multiply
    302,754.72x = 417,770.10 × 186,449.70
  4. Step 4: Simplify right side
    302,754.72x = 77,893,109,813.97
  5. Step 5: Solve for x
    x = 77,893,109,813.97/302,754.72
  6. Step 6: Final answer
    x = 257,281.24

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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.