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Finding the Fourth Proportional to 374,978.04, 517,471.38 and 205,211.76

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Solution

The fourth proportional to 374,978.04, 517,471.38 and 205,211.76 is: 283,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,978.04 : 517,471.38 = 205,211.76 : x
  2. Step 2: Convert to fraction form
    374,978.04/517,471.38 = 205,211.76/x
  3. Step 3: Cross multiply
    374,978.04x = 517,471.38 × 205,211.76
  4. Step 4: Simplify right side
    374,978.04x = 106,191,212,639.43
  5. Step 5: Solve for x
    x = 106,191,212,639.43/374,978.04
  6. Step 6: Final answer
    x = 283,193.15

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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.