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Finding the Fourth Proportional to 378,853.38, 565,506.81 and 334,014.48

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Solution

The fourth proportional to 378,853.38, 565,506.81 and 334,014.48 is: 498,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,853.38 : 565,506.81 = 334,014.48 : x
  2. Step 2: Convert to fraction form
    378,853.38/565,506.81 = 334,014.48/x
  3. Step 3: Cross multiply
    378,853.38x = 565,506.81 × 334,014.48
  4. Step 4: Simplify right side
    378,853.38x = 188,887,463,078.61
  5. Step 5: Solve for x
    x = 188,887,463,078.61/378,853.38
  6. Step 6: Final answer
    x = 498,576.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.