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Finding the Fourth Proportional to 384,805.80, 577,208.70 and 135,455.40

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Solution

The fourth proportional to 384,805.80, 577,208.70 and 135,455.40 is: 203,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,805.80 : 577,208.70 = 135,455.40 : x
  2. Step 2: Convert to fraction form
    384,805.80/577,208.70 = 135,455.40/x
  3. Step 3: Cross multiply
    384,805.80x = 577,208.70 × 135,455.40
  4. Step 4: Simplify right side
    384,805.80x = 78,186,035,341.98
  5. Step 5: Solve for x
    x = 78,186,035,341.98/384,805.80
  6. Step 6: Final answer
    x = 203,183.10

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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.