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Finding the Fourth Proportional to 470,327.43, 705,443.07 and 128,801.22

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Solution

The fourth proportional to 470,327.43, 705,443.07 and 128,801.22 is: 193,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,327.43 : 705,443.07 = 128,801.22 : x
  2. Step 2: Convert to fraction form
    470,327.43/705,443.07 = 128,801.22/x
  3. Step 3: Cross multiply
    470,327.43x = 705,443.07 × 128,801.22
  4. Step 4: Simplify right side
    470,327.43x = 90,861,928,056.55
  5. Step 5: Solve for x
    x = 90,861,928,056.55/470,327.43
  6. Step 6: Final answer
    x = 193,188.66

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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.