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Finding the Fourth Proportional to 509,500.19, 764,381.51 and 193,784.87

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Solution

The fourth proportional to 509,500.19, 764,381.51 and 193,784.87 is: 290,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,500.19 : 764,381.51 = 193,784.87 : x
  2. Step 2: Convert to fraction form
    509,500.19/764,381.51 = 193,784.87/x
  3. Step 3: Cross multiply
    509,500.19x = 764,381.51 × 193,784.87
  4. Step 4: Simplify right side
    509,500.19x = 148,125,570,576.83
  5. Step 5: Solve for x
    x = 148,125,570,576.83/509,500.19
  6. Step 6: Final answer
    x = 290,727.21

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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.