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Finding the Fourth Proportional to 403,797.47, 557,215.13 and 242,557.25

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Solution

The fourth proportional to 403,797.47, 557,215.13 and 242,557.25 is: 334,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,797.47 : 557,215.13 = 242,557.25 : x
  2. Step 2: Convert to fraction form
    403,797.47/557,215.13 = 242,557.25/x
  3. Step 3: Cross multiply
    403,797.47x = 557,215.13 × 242,557.25
  4. Step 4: Simplify right side
    403,797.47x = 135,156,567,411.51
  5. Step 5: Solve for x
    x = 135,156,567,411.51/403,797.47
  6. Step 6: Final answer
    x = 334,713.76

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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.