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Finding the Fourth Proportional to 312,255.18, 430,796.76 and 204,970.98

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Solution

The fourth proportional to 312,255.18, 430,796.76 and 204,970.98 is: 282,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,255.18 : 430,796.76 = 204,970.98 : x
  2. Step 2: Convert to fraction form
    312,255.18/430,796.76 = 204,970.98/x
  3. Step 3: Cross multiply
    312,255.18x = 430,796.76 × 204,970.98
  4. Step 4: Simplify right side
    312,255.18x = 88,300,834,078.02
  5. Step 5: Solve for x
    x = 88,300,834,078.02/312,255.18
  6. Step 6: Final answer
    x = 282,784.21

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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.