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Finding the Fourth Proportional to 384,814.80, 577,222.20 and 135,464.40

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Solution

The fourth proportional to 384,814.80, 577,222.20 and 135,464.40 is: 203,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,814.80 : 577,222.20 = 135,464.40 : x
  2. Step 2: Convert to fraction form
    384,814.80/577,222.20 = 135,464.40/x
  3. Step 3: Cross multiply
    384,814.80x = 577,222.20 × 135,464.40
  4. Step 4: Simplify right side
    384,814.80x = 78,193,058,989.68
  5. Step 5: Solve for x
    x = 78,193,058,989.68/384,814.80
  6. Step 6: Final answer
    x = 203,196.60

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1.5x scale

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.