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Finding the Fourth Proportional to 312,585.32, 467,538.36 and 289,895.20

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Solution

The fourth proportional to 312,585.32, 467,538.36 and 289,895.20 is: 433,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,585.32 : 467,538.36 = 289,895.20 : x
  2. Step 2: Convert to fraction form
    312,585.32/467,538.36 = 289,895.20/x
  3. Step 3: Cross multiply
    312,585.32x = 467,538.36 × 289,895.20
  4. Step 4: Simplify right side
    312,585.32x = 135,537,126,379.87
  5. Step 5: Solve for x
    x = 135,537,126,379.87/312,585.32
  6. Step 6: Final answer
    x = 433,600.42

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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.