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Finding the Fourth Proportional to 347,758.93, 480,963.86 and 311,935.87

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Solution

The fourth proportional to 347,758.93, 480,963.86 and 311,935.87 is: 431,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,758.93 : 480,963.86 = 311,935.87 : x
  2. Step 2: Convert to fraction form
    347,758.93/480,963.86 = 311,935.87/x
  3. Step 3: Cross multiply
    347,758.93x = 480,963.86 × 311,935.87
  4. Step 4: Simplify right side
    347,758.93x = 150,029,878,905.25
  5. Step 5: Solve for x
    x = 150,029,878,905.25/347,758.93
  6. Step 6: Final answer
    x = 431,419.20

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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.