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Finding the Fourth Proportional to 509,490.57, 764,243.16 and 193,964.79

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Solution

The fourth proportional to 509,490.57, 764,243.16 and 193,964.79 is: 290,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,490.57 : 764,243.16 = 193,964.79 : x
  2. Step 2: Convert to fraction form
    509,490.57/764,243.16 = 193,964.79/x
  3. Step 3: Cross multiply
    509,490.57x = 764,243.16 × 193,964.79
  4. Step 4: Simplify right side
    509,490.57x = 148,236,264,038.34
  5. Step 5: Solve for x
    x = 148,236,264,038.34/509,490.57
  6. Step 6: Final answer
    x = 290,949.97

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Double scale
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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.