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Finding the Fourth Proportional to 507,749.38, 700,694.14 and 281,409.46

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Solution

The fourth proportional to 507,749.38, 700,694.14 and 281,409.46 is: 388,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,749.38 : 700,694.14 = 281,409.46 : x
  2. Step 2: Convert to fraction form
    507,749.38/700,694.14 = 281,409.46/x
  3. Step 3: Cross multiply
    507,749.38x = 700,694.14 × 281,409.46
  4. Step 4: Simplify right side
    507,749.38x = 197,181,959,562.56
  5. Step 5: Solve for x
    x = 197,181,959,562.56/507,749.38
  6. Step 6: Final answer
    x = 388,345.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.