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Finding the Fourth Proportional to 302,878.54, 417,688.89 and 239,368.06

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Solution

The fourth proportional to 302,878.54, 417,688.89 and 239,368.06 is: 330,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,878.54 : 417,688.89 = 239,368.06 : x
  2. Step 2: Convert to fraction form
    302,878.54/417,688.89 = 239,368.06/x
  3. Step 3: Cross multiply
    302,878.54x = 417,688.89 × 239,368.06
  4. Step 4: Simplify right side
    302,878.54x = 99,981,379,282.85
  5. Step 5: Solve for x
    x = 99,981,379,282.85/302,878.54
  6. Step 6: Final answer
    x = 330,103.87

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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.