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Finding the Fourth Proportional to 541,840.50, 812,760.75 and 147,856.50

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Solution

The fourth proportional to 541,840.50, 812,760.75 and 147,856.50 is: 221,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,840.50 : 812,760.75 = 147,856.50 : x
  2. Step 2: Convert to fraction form
    541,840.50/812,760.75 = 147,856.50/x
  3. Step 3: Cross multiply
    541,840.50x = 812,760.75 × 147,856.50
  4. Step 4: Simplify right side
    541,840.50x = 120,171,959,832.38
  5. Step 5: Solve for x
    x = 120,171,959,832.38/541,840.50
  6. Step 6: Final answer
    x = 221,784.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.