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Finding the Fourth Proportional to 427,797.65, 642,327.29 and 238,627.61

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Solution

The fourth proportional to 427,797.65, 642,327.29 and 238,627.61 is: 358,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,797.65 : 642,327.29 = 238,627.61 : x
  2. Step 2: Convert to fraction form
    427,797.65/642,327.29 = 238,627.61/x
  3. Step 3: Cross multiply
    427,797.65x = 642,327.29 × 238,627.61
  4. Step 4: Simplify right side
    427,797.65x = 153,277,026,050.48
  5. Step 5: Solve for x
    x = 153,277,026,050.48/427,797.65
  6. Step 6: Final answer
    x = 358,293.29

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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.