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Finding the Fourth Proportional to 206,277.52, 309,416.52 and 56,519.08

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Solution

The fourth proportional to 206,277.52, 309,416.52 and 56,519.08 is: 84,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,277.52 : 309,416.52 = 56,519.08 : x
  2. Step 2: Convert to fraction form
    206,277.52/309,416.52 = 56,519.08/x
  3. Step 3: Cross multiply
    206,277.52x = 309,416.52 × 56,519.08
  4. Step 4: Simplify right side
    206,277.52x = 17,487,937,047.20
  5. Step 5: Solve for x
    x = 17,487,937,047.20/206,277.52
  6. Step 6: Final answer
    x = 84,778.69

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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.