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Finding the Fourth Proportional to 407,581, 562,513.62 and 228,733

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Solution

The fourth proportional to 407,581, 562,513.62 and 228,733 is: 315,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,581 : 562,513.62 = 228,733 : x
  2. Step 2: Convert to fraction form
    407,581/562,513.62 = 228,733/x
  3. Step 3: Cross multiply
    407,581x = 562,513.62 × 228,733
  4. Step 4: Simplify right side
    407,581x = 128,665,427,843.46
  5. Step 5: Solve for x
    x = 128,665,427,843.46/407,581
  6. Step 6: Final answer
    x = 315,680.63

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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.