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Finding the Fourth Proportional to 407,782.88, 562,721.28 and 226,506.32

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Solution

The fourth proportional to 407,782.88, 562,721.28 and 226,506.32 is: 312,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,782.88 : 562,721.28 = 226,506.32 : x
  2. Step 2: Convert to fraction form
    407,782.88/562,721.28 = 226,506.32/x
  3. Step 3: Cross multiply
    407,782.88x = 562,721.28 × 226,506.32
  4. Step 4: Simplify right side
    407,782.88x = 127,459,926,318.49
  5. Step 5: Solve for x
    x = 127,459,926,318.49/407,782.88
  6. Step 6: Final answer
    x = 312,568.12

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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.