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Finding the Fourth Proportional to 413,409.08, 620,178.60 and 176,753

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Solution

The fourth proportional to 413,409.08, 620,178.60 and 176,753 is: 265,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,409.08 : 620,178.60 = 176,753 : x
  2. Step 2: Convert to fraction form
    413,409.08/620,178.60 = 176,753/x
  3. Step 3: Cross multiply
    413,409.08x = 620,178.60 × 176,753
  4. Step 4: Simplify right side
    413,409.08x = 109,618,428,085.80
  5. Step 5: Solve for x
    x = 109,618,428,085.80/413,409.08
  6. Step 6: Final answer
    x = 265,157.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.