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Finding the Fourth Proportional to 282,374.84, 389,712.39 and 161,499.35

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Solution

The fourth proportional to 282,374.84, 389,712.39 and 161,499.35 is: 222,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.84 : 389,712.39 = 161,499.35 : x
  2. Step 2: Convert to fraction form
    282,374.84/389,712.39 = 161,499.35/x
  3. Step 3: Cross multiply
    282,374.84x = 389,712.39 × 161,499.35
  4. Step 4: Simplify right side
    282,374.84x = 62,938,297,671.95
  5. Step 5: Solve for x
    x = 62,938,297,671.95/282,374.84
  6. Step 6: Final answer
    x = 222,889.18

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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.