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Finding the Fourth Proportional to 409,267.92, 564,714.79 and 227,975.34

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Solution

The fourth proportional to 409,267.92, 564,714.79 and 227,975.34 is: 314,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,267.92 : 564,714.79 = 227,975.34 : x
  2. Step 2: Convert to fraction form
    409,267.92/564,714.79 = 227,975.34/x
  3. Step 3: Cross multiply
    409,267.92x = 564,714.79 × 227,975.34
  4. Step 4: Simplify right side
    409,267.92x = 128,741,047,801.02
  5. Step 5: Solve for x
    x = 128,741,047,801.02/409,267.92
  6. Step 6: Final answer
    x = 314,564.23

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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.