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Finding the Fourth Proportional to 374,978.40, 517,463.28 and 205,209.12

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Solution

The fourth proportional to 374,978.40, 517,463.28 and 205,209.12 is: 283,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,978.40 : 517,463.28 = 205,209.12 : x
  2. Step 2: Convert to fraction form
    374,978.40/517,463.28 = 205,209.12/x
  3. Step 3: Cross multiply
    374,978.40x = 517,463.28 × 205,209.12
  4. Step 4: Simplify right side
    374,978.40x = 106,188,184,321.11
  5. Step 5: Solve for x
    x = 106,188,184,321.11/374,978.40
  6. Step 6: Final answer
    x = 283,184.80

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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.