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Finding the Fourth Proportional to 205,207.20, 307,810.80 and 189,460.80

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Solution

The fourth proportional to 205,207.20, 307,810.80 and 189,460.80 is: 284,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.20 : 307,810.80 = 189,460.80 : x
  2. Step 2: Convert to fraction form
    205,207.20/307,810.80 = 189,460.80/x
  3. Step 3: Cross multiply
    205,207.20x = 307,810.80 × 189,460.80
  4. Step 4: Simplify right side
    205,207.20x = 58,318,080,416.64
  5. Step 5: Solve for x
    x = 58,318,080,416.64/205,207.20
  6. Step 6: Final answer
    x = 284,191.20

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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.