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Finding the Fourth Proportional to 315,732.40, 471,295.38 and 275,873.92

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Solution

The fourth proportional to 315,732.40, 471,295.38 and 275,873.92 is: 411,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732.40 : 471,295.38 = 275,873.92 : x
  2. Step 2: Convert to fraction form
    315,732.40/471,295.38 = 275,873.92/x
  3. Step 3: Cross multiply
    315,732.40x = 471,295.38 × 275,873.92
  4. Step 4: Simplify right side
    315,732.40x = 130,018,103,958.49
  5. Step 5: Solve for x
    x = 130,018,103,958.49/315,732.40
  6. Step 6: Final answer
    x = 411,798.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.