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Finding the Fourth Proportional to 302,690.76, 417,763.08 and 230,935.20

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Solution

The fourth proportional to 302,690.76, 417,763.08 and 230,935.20 is: 318,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690.76 : 417,763.08 = 230,935.20 : x
  2. Step 2: Convert to fraction form
    302,690.76/417,763.08 = 230,935.20/x
  3. Step 3: Cross multiply
    302,690.76x = 417,763.08 × 230,935.20
  4. Step 4: Simplify right side
    302,690.76x = 96,476,200,432.42
  5. Step 5: Solve for x
    x = 96,476,200,432.42/302,690.76
  6. Step 6: Final answer
    x = 318,728.59

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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.