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Finding the Fourth Proportional to 407,830, 562,785.12 and 226,553.44

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Solution

The fourth proportional to 407,830, 562,785.12 and 226,553.44 is: 312,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,830 : 562,785.12 = 226,553.44 : x
  2. Step 2: Convert to fraction form
    407,830/562,785.12 = 226,553.44/x
  3. Step 3: Cross multiply
    407,830x = 562,785.12 × 226,553.44
  4. Step 4: Simplify right side
    407,830x = 127,500,904,916.81
  5. Step 5: Solve for x
    x = 127,500,904,916.81/407,830
  6. Step 6: Final answer
    x = 312,632.48

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1.5x scale

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.