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Finding the Fourth Proportional to 521,715.94, 782,840.79 and 248,471.47

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Solution

The fourth proportional to 521,715.94, 782,840.79 and 248,471.47 is: 372,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,715.94 : 782,840.79 = 248,471.47 : x
  2. Step 2: Convert to fraction form
    521,715.94/782,840.79 = 248,471.47/x
  3. Step 3: Cross multiply
    521,715.94x = 782,840.79 × 248,471.47
  4. Step 4: Simplify right side
    521,715.94x = 194,513,601,867.26
  5. Step 5: Solve for x
    x = 194,513,601,867.26/521,715.94
  6. Step 6: Final answer
    x = 372,834.31

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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.