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Finding the Fourth Proportional to 509,184.72, 762,613.62 and 243,131.58

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Solution

The fourth proportional to 509,184.72, 762,613.62 and 243,131.58 is: 364,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,184.72 : 762,613.62 = 243,131.58 : x
  2. Step 2: Convert to fraction form
    509,184.72/762,613.62 = 243,131.58/x
  3. Step 3: Cross multiply
    509,184.72x = 762,613.62 × 243,131.58
  4. Step 4: Simplify right side
    509,184.72x = 185,415,454,360.12
  5. Step 5: Solve for x
    x = 185,415,454,360.12/509,184.72
  6. Step 6: Final answer
    x = 364,141.83

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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.