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Finding the Fourth Proportional to 312,118.19, 430,607.87 and 204,834.01

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Solution

The fourth proportional to 312,118.19, 430,607.87 and 204,834.01 is: 282,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,118.19 : 430,607.87 = 204,834.01 : x
  2. Step 2: Convert to fraction form
    312,118.19/430,607.87 = 204,834.01/x
  3. Step 3: Cross multiply
    312,118.19x = 430,607.87 × 204,834.01
  4. Step 4: Simplify right side
    312,118.19x = 88,203,134,596.62
  5. Step 5: Solve for x
    x = 88,203,134,596.62/312,118.19
  6. Step 6: Final answer
    x = 282,595.30

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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.