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Finding the Fourth Proportional to 290,376, 400,788 and 177,294.24

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Solution

The fourth proportional to 290,376, 400,788 and 177,294.24 is: 244,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,376 : 400,788 = 177,294.24 : x
  2. Step 2: Convert to fraction form
    290,376/400,788 = 177,294.24/x
  3. Step 3: Cross multiply
    290,376x = 400,788 × 177,294.24
  4. Step 4: Simplify right side
    290,376x = 71,057,403,861.12
  5. Step 5: Solve for x
    x = 71,057,403,861.12/290,376
  6. Step 6: Final answer
    x = 244,708.25

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1.5x scale

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.