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Finding the Fourth Proportional to 302,813.78, 417,892.48 and 173,775.87

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Solution

The fourth proportional to 302,813.78, 417,892.48 and 173,775.87 is: 239,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813.78 : 417,892.48 = 173,775.87 : x
  2. Step 2: Convert to fraction form
    302,813.78/417,892.48 = 173,775.87/x
  3. Step 3: Cross multiply
    302,813.78x = 417,892.48 × 173,775.87
  4. Step 4: Simplify right side
    302,813.78x = 72,619,629,278.46
  5. Step 5: Solve for x
    x = 72,619,629,278.46/302,813.78
  6. Step 6: Final answer
    x = 239,816.13

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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.