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Finding the Fourth Proportional to 684,856.50, 945,105.21 and 383,050.50

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Solution

The fourth proportional to 684,856.50, 945,105.21 and 383,050.50 is: 528,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,856.50 : 945,105.21 = 383,050.50 : x
  2. Step 2: Convert to fraction form
    684,856.50/945,105.21 = 383,050.50/x
  3. Step 3: Cross multiply
    684,856.50x = 945,105.21 × 383,050.50
  4. Step 4: Simplify right side
    684,856.50x = 362,023,023,243.11
  5. Step 5: Solve for x
    x = 362,023,023,243.11/684,856.50
  6. Step 6: Final answer
    x = 528,611.50

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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.