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Finding the Fourth Proportional to 374,810.40, 517,242.43 and 205,040.88

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Solution

The fourth proportional to 374,810.40, 517,242.43 and 205,040.88 is: 282,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,810.40 : 517,242.43 = 205,040.88 : x
  2. Step 2: Convert to fraction form
    374,810.40/517,242.43 = 205,040.88/x
  3. Step 3: Cross multiply
    374,810.40x = 517,242.43 × 205,040.88
  4. Step 4: Simplify right side
    374,810.40x = 106,055,843,020.54
  5. Step 5: Solve for x
    x = 106,055,843,020.54/374,810.40
  6. Step 6: Final answer
    x = 282,958.65

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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.