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Finding the Fourth Proportional to 409,410.92, 564,979.53 and 228,118.94

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Solution

The fourth proportional to 409,410.92, 564,979.53 and 228,118.94 is: 314,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,410.92 : 564,979.53 = 228,118.94 : x
  2. Step 2: Convert to fraction form
    409,410.92/564,979.53 = 228,118.94/x
  3. Step 3: Cross multiply
    409,410.92x = 564,979.53 × 228,118.94
  4. Step 4: Simplify right side
    409,410.92x = 128,882,528,680.40
  5. Step 5: Solve for x
    x = 128,882,528,680.40/409,410.92
  6. Step 6: Final answer
    x = 314,799.93

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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.