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Finding the Fourth Proportional to 509,813.86, 764,273.67 and 194,060.74

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Solution

The fourth proportional to 509,813.86, 764,273.67 and 194,060.74 is: 290,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,813.86 : 764,273.67 = 194,060.74 : x
  2. Step 2: Convert to fraction form
    509,813.86/764,273.67 = 194,060.74/x
  3. Step 3: Cross multiply
    509,813.86x = 764,273.67 × 194,060.74
  4. Step 4: Simplify right side
    509,813.86x = 148,315,513,962.72
  5. Step 5: Solve for x
    x = 148,315,513,962.72/509,813.86
  6. Step 6: Final answer
    x = 290,920.91

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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.