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Finding the Fourth Proportional to 706,520.87, 974,989.54 and 384,224.10

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Solution

The fourth proportional to 706,520.87, 974,989.54 and 384,224.10 is: 530,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,520.87 : 974,989.54 = 384,224.10 : x
  2. Step 2: Convert to fraction form
    706,520.87/974,989.54 = 384,224.10/x
  3. Step 3: Cross multiply
    706,520.87x = 974,989.54 × 384,224.10
  4. Step 4: Simplify right side
    706,520.87x = 374,614,478,515.91
  5. Step 5: Solve for x
    x = 374,614,478,515.91/706,520.87
  6. Step 6: Final answer
    x = 530,224.22

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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.