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Finding the Fourth Proportional to 403,706.16, 557,087.76 and 242,568

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Solution

The fourth proportional to 403,706.16, 557,087.76 and 242,568 is: 334,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,706.16 : 557,087.76 = 242,568 : x
  2. Step 2: Convert to fraction form
    403,706.16/557,087.76 = 242,568/x
  3. Step 3: Cross multiply
    403,706.16x = 557,087.76 × 242,568
  4. Step 4: Simplify right side
    403,706.16x = 135,131,663,767.68
  5. Step 5: Solve for x
    x = 135,131,663,767.68/403,706.16
  6. Step 6: Final answer
    x = 334,727.77

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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.