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Finding the Fourth Proportional to 400,803.04, 552,842.01 and 257,744.08

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Solution

The fourth proportional to 400,803.04, 552,842.01 and 257,744.08 is: 355,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,803.04 : 552,842.01 = 257,744.08 : x
  2. Step 2: Convert to fraction form
    400,803.04/552,842.01 = 257,744.08/x
  3. Step 3: Cross multiply
    400,803.04x = 552,842.01 × 257,744.08
  4. Step 4: Simplify right side
    400,803.04x = 142,491,755,252.80
  5. Step 5: Solve for x
    x = 142,491,755,252.80/400,803.04
  6. Step 6: Final answer
    x = 355,515.65

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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.