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Finding the Fourth Proportional to 645,226.17, 967,836 and 165,451.83

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Solution

The fourth proportional to 645,226.17, 967,836 and 165,451.83 is: 248,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,226.17 : 967,836 = 165,451.83 : x
  2. Step 2: Convert to fraction form
    645,226.17/967,836 = 165,451.83/x
  3. Step 3: Cross multiply
    645,226.17x = 967,836 × 165,451.83
  4. Step 4: Simplify right side
    645,226.17x = 160,130,237,339.88
  5. Step 5: Solve for x
    x = 160,130,237,339.88/645,226.17
  6. Step 6: Final answer
    x = 248,176.91

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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.