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Finding the Fourth Proportional to 374,782.89, 517,208.67 and 205,017

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Solution

The fourth proportional to 374,782.89, 517,208.67 and 205,017 is: 282,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,782.89 : 517,208.67 = 205,017 : x
  2. Step 2: Convert to fraction form
    374,782.89/517,208.67 = 205,017/x
  3. Step 3: Cross multiply
    374,782.89x = 517,208.67 × 205,017
  4. Step 4: Simplify right side
    374,782.89x = 106,036,569,897.39
  5. Step 5: Solve for x
    x = 106,036,569,897.39/374,782.89
  6. Step 6: Final answer
    x = 282,927.99

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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.