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Finding the Fourth Proportional to 509,211.69, 762,653.97 and 243,158.55

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Solution

The fourth proportional to 509,211.69, 762,653.97 and 243,158.55 is: 364,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,211.69 : 762,653.97 = 243,158.55 : x
  2. Step 2: Convert to fraction form
    509,211.69/762,653.97 = 243,158.55/x
  3. Step 3: Cross multiply
    509,211.69x = 762,653.97 × 243,158.55
  4. Step 4: Simplify right side
    509,211.69x = 185,445,833,496.94
  5. Step 5: Solve for x
    x = 185,445,833,496.94/509,211.69
  6. Step 6: Final answer
    x = 364,182.20

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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.