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Finding the Fourth Proportional to 517,493, 776,195.03 and 315,036.56

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Solution

The fourth proportional to 517,493, 776,195.03 and 315,036.56 is: 472,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,493 : 776,195.03 = 315,036.56 : x
  2. Step 2: Convert to fraction form
    517,493/776,195.03 = 315,036.56/x
  3. Step 3: Cross multiply
    517,493x = 776,195.03 × 315,036.56
  4. Step 4: Simplify right side
    517,493x = 244,529,808,259.32
  5. Step 5: Solve for x
    x = 244,529,808,259.32/517,493
  6. Step 6: Final answer
    x = 472,527.76

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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.