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Finding the Fourth Proportional to 409,205.84, 564,702.48 and 227,919.92

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Solution

The fourth proportional to 409,205.84, 564,702.48 and 227,919.92 is: 314,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,205.84 : 564,702.48 = 227,919.92 : x
  2. Step 2: Convert to fraction form
    409,205.84/564,702.48 = 227,919.92/x
  3. Step 3: Cross multiply
    409,205.84x = 564,702.48 × 227,919.92
  4. Step 4: Simplify right side
    409,205.84x = 128,706,944,065.40
  5. Step 5: Solve for x
    x = 128,706,944,065.40/409,205.84
  6. Step 6: Final answer
    x = 314,528.61

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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.