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Finding the Fourth Proportional to 509,610.90, 764,999.55 and 299,367.30

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Solution

The fourth proportional to 509,610.90, 764,999.55 and 299,367.30 is: 449,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,610.90 : 764,999.55 = 299,367.30 : x
  2. Step 2: Convert to fraction form
    509,610.90/764,999.55 = 299,367.30/x
  3. Step 3: Cross multiply
    509,610.90x = 764,999.55 × 299,367.30
  4. Step 4: Simplify right side
    509,610.90x = 229,015,849,784.72
  5. Step 5: Solve for x
    x = 229,015,849,784.72/509,610.90
  6. Step 6: Final answer
    x = 449,393.55

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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.