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Finding the Fourth Proportional to 406,944, 561,582.72 and 228,096

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Solution

The fourth proportional to 406,944, 561,582.72 and 228,096 is: 314,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944 : 561,582.72 = 228,096 : x
  2. Step 2: Convert to fraction form
    406,944/561,582.72 = 228,096/x
  3. Step 3: Cross multiply
    406,944x = 561,582.72 × 228,096
  4. Step 4: Simplify right side
    406,944x = 128,094,772,101.12
  5. Step 5: Solve for x
    x = 128,094,772,101.12/406,944
  6. Step 6: Final answer
    x = 314,772.48

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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.