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Finding the Fourth Proportional to 379,468.40, 569,858.70 and 202,321.40

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Solution

The fourth proportional to 379,468.40, 569,858.70 and 202,321.40 is: 303,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,468.40 : 569,858.70 = 202,321.40 : x
  2. Step 2: Convert to fraction form
    379,468.40/569,858.70 = 202,321.40/x
  3. Step 3: Cross multiply
    379,468.40x = 569,858.70 × 202,321.40
  4. Step 4: Simplify right side
    379,468.40x = 115,294,609,986.18
  5. Step 5: Solve for x
    x = 115,294,609,986.18/379,468.40
  6. Step 6: Final answer
    x = 303,831.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.