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Finding the Fourth Proportional to 302,954.85, 418,058.67 and 166,981.31

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Solution

The fourth proportional to 302,954.85, 418,058.67 and 166,981.31 is: 230,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,954.85 : 418,058.67 = 166,981.31 : x
  2. Step 2: Convert to fraction form
    302,954.85/418,058.67 = 166,981.31/x
  3. Step 3: Cross multiply
    302,954.85x = 418,058.67 × 166,981.31
  4. Step 4: Simplify right side
    302,954.85x = 69,807,984,477.06
  5. Step 5: Solve for x
    x = 69,807,984,477.06/302,954.85
  6. Step 6: Final answer
    x = 230,423.72

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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.