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Finding the Fourth Proportional to 375,947.93, 518,760.15 and 214,813.42

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Solution

The fourth proportional to 375,947.93, 518,760.15 and 214,813.42 is: 296,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,947.93 : 518,760.15 = 214,813.42 : x
  2. Step 2: Convert to fraction form
    375,947.93/518,760.15 = 214,813.42/x
  3. Step 3: Cross multiply
    375,947.93x = 518,760.15 × 214,813.42
  4. Step 4: Simplify right side
    375,947.93x = 111,436,641,981.21
  5. Step 5: Solve for x
    x = 111,436,641,981.21/375,947.93
  6. Step 6: Final answer
    x = 296,415.10

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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.