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Finding the Fourth Proportional to 400,294.98, 552,774.51 and 257,304.06

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Solution

The fourth proportional to 400,294.98, 552,774.51 and 257,304.06 is: 355,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,294.98 : 552,774.51 = 257,304.06 : x
  2. Step 2: Convert to fraction form
    400,294.98/552,774.51 = 257,304.06/x
  3. Step 3: Cross multiply
    400,294.98x = 552,774.51 × 257,304.06
  4. Step 4: Simplify right side
    400,294.98x = 142,231,125,687.51
  5. Step 5: Solve for x
    x = 142,231,125,687.51/400,294.98
  6. Step 6: Final answer
    x = 355,315.79

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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.