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Finding the Fourth Proportional to 302,690.16, 417,276.09 and 211,764.42

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Solution

The fourth proportional to 302,690.16, 417,276.09 and 211,764.42 is: 291,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690.16 : 417,276.09 = 211,764.42 : x
  2. Step 2: Convert to fraction form
    302,690.16/417,276.09 = 211,764.42/x
  3. Step 3: Cross multiply
    302,690.16x = 417,276.09 × 211,764.42
  4. Step 4: Simplify right side
    302,690.16x = 88,364,229,178.72
  5. Step 5: Solve for x
    x = 88,364,229,178.72/302,690.16
  6. Step 6: Final answer
    x = 291,929.64

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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.