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Finding the Fourth Proportional to 559,005.17, 838,521.45 and 204,019.09

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Solution

The fourth proportional to 559,005.17, 838,521.45 and 204,019.09 is: 306,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,005.17 : 838,521.45 = 204,019.09 : x
  2. Step 2: Convert to fraction form
    559,005.17/838,521.45 = 204,019.09/x
  3. Step 3: Cross multiply
    559,005.17x = 838,521.45 × 204,019.09
  4. Step 4: Simplify right side
    559,005.17x = 171,074,381,078.18
  5. Step 5: Solve for x
    x = 171,074,381,078.18/559,005.17
  6. Step 6: Final answer
    x = 306,033.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.