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Finding the Fourth Proportional to 380,898.84, 570,856.20 and 181,280.40

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Solution

The fourth proportional to 380,898.84, 570,856.20 and 181,280.40 is: 271,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,898.84 : 570,856.20 = 181,280.40 : x
  2. Step 2: Convert to fraction form
    380,898.84/570,856.20 = 181,280.40/x
  3. Step 3: Cross multiply
    380,898.84x = 570,856.20 × 181,280.40
  4. Step 4: Simplify right side
    380,898.84x = 103,485,040,278.48
  5. Step 5: Solve for x
    x = 103,485,040,278.48/380,898.84
  6. Step 6: Final answer
    x = 271,686.41

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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.