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Finding the Fourth Proportional to 371,710.52, 512,928.68 and 206,143.82

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Solution

The fourth proportional to 371,710.52, 512,928.68 and 206,143.82 is: 284,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,710.52 : 512,928.68 = 206,143.82 : x
  2. Step 2: Convert to fraction form
    371,710.52/512,928.68 = 206,143.82/x
  3. Step 3: Cross multiply
    371,710.52x = 512,928.68 × 206,143.82
  4. Step 4: Simplify right side
    371,710.52x = 105,737,077,482.76
  5. Step 5: Solve for x
    x = 105,737,077,482.76/371,710.52
  6. Step 6: Final answer
    x = 284,460.82

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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.