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Finding the Fourth Proportional to 374,938.74, 517,415.50 and 205,172.88

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Solution

The fourth proportional to 374,938.74, 517,415.50 and 205,172.88 is: 283,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,938.74 : 517,415.50 = 205,172.88 : x
  2. Step 2: Convert to fraction form
    374,938.74/517,415.50 = 205,172.88/x
  3. Step 3: Cross multiply
    374,938.74x = 517,415.50 × 205,172.88
  4. Step 4: Simplify right side
    374,938.74x = 106,159,628,291.64
  5. Step 5: Solve for x
    x = 106,159,628,291.64/374,938.74
  6. Step 6: Final answer
    x = 283,138.60

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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.