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Finding the Fourth Proportional to 381,366.50, 524,419.53 and 330,978.02

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Solution

The fourth proportional to 381,366.50, 524,419.53 and 330,978.02 is: 455,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,366.50 : 524,419.53 = 330,978.02 : x
  2. Step 2: Convert to fraction form
    381,366.50/524,419.53 = 330,978.02/x
  3. Step 3: Cross multiply
    381,366.50x = 524,419.53 × 330,978.02
  4. Step 4: Simplify right side
    381,366.50x = 173,571,337,688.73
  5. Step 5: Solve for x
    x = 173,571,337,688.73/381,366.50
  6. Step 6: Final answer
    x = 455,130.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.