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Finding the Fourth Proportional to 427,810, 642,345.76 and 238,639.92

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Solution

The fourth proportional to 427,810, 642,345.76 and 238,639.92 is: 358,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,810 : 642,345.76 = 238,639.92 : x
  2. Step 2: Convert to fraction form
    427,810/642,345.76 = 238,639.92/x
  3. Step 3: Cross multiply
    427,810x = 642,345.76 × 238,639.92
  4. Step 4: Simplify right side
    427,810x = 153,289,340,778.74
  5. Step 5: Solve for x
    x = 153,289,340,778.74/427,810
  6. Step 6: Final answer
    x = 358,311.73

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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.