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Finding the Fourth Proportional to 374,901.78, 517,364.40 and 205,135.86

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Solution

The fourth proportional to 374,901.78, 517,364.40 and 205,135.86 is: 283,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,901.78 : 517,364.40 = 205,135.86 : x
  2. Step 2: Convert to fraction form
    374,901.78/517,364.40 = 205,135.86/x
  3. Step 3: Cross multiply
    374,901.78x = 517,364.40 × 205,135.86
  4. Step 4: Simplify right side
    374,901.78x = 106,129,991,127.38
  5. Step 5: Solve for x
    x = 106,129,991,127.38/374,901.78
  6. Step 6: Final answer
    x = 283,087.46

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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.