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Finding the Fourth Proportional to 398,116, 595,771.35 and 248,426.65

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Solution

The fourth proportional to 398,116, 595,771.35 and 248,426.65 is: 371,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,116 : 595,771.35 = 248,426.65 : x
  2. Step 2: Convert to fraction form
    398,116/595,771.35 = 248,426.65/x
  3. Step 3: Cross multiply
    398,116x = 595,771.35 × 248,426.65
  4. Step 4: Simplify right side
    398,116x = 148,005,480,646.48
  5. Step 5: Solve for x
    x = 148,005,480,646.48/398,116
  6. Step 6: Final answer
    x = 371,764.71

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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.