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Finding the Fourth Proportional to 312,220.71, 430,414.02 and 204,603.98

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Solution

The fourth proportional to 312,220.71, 430,414.02 and 204,603.98 is: 282,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,220.71 : 430,414.02 = 204,603.98 : x
  2. Step 2: Convert to fraction form
    312,220.71/430,414.02 = 204,603.98/x
  3. Step 3: Cross multiply
    312,220.71x = 430,414.02 × 204,603.98
  4. Step 4: Simplify right side
    312,220.71x = 88,064,419,387.73
  5. Step 5: Solve for x
    x = 88,064,419,387.73/312,220.71
  6. Step 6: Final answer
    x = 282,058.23

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1.5x scale

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.