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Finding the Fourth Proportional to 375,084.06, 517,629.06 and 205,319.40

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Solution

The fourth proportional to 375,084.06, 517,629.06 and 205,319.40 is: 283,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,084.06 : 517,629.06 = 205,319.40 : x
  2. Step 2: Convert to fraction form
    375,084.06/517,629.06 = 205,319.40/x
  3. Step 3: Cross multiply
    375,084.06x = 517,629.06 × 205,319.40
  4. Step 4: Simplify right side
    375,084.06x = 106,279,288,021.76
  5. Step 5: Solve for x
    x = 106,279,288,021.76/375,084.06
  6. Step 6: Final answer
    x = 283,347.92

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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.