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Finding the Fourth Proportional to 282,883.14, 390,267.36 and 161,959.32

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Solution

The fourth proportional to 282,883.14, 390,267.36 and 161,959.32 is: 223,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,883.14 : 390,267.36 = 161,959.32 : x
  2. Step 2: Convert to fraction form
    282,883.14/390,267.36 = 161,959.32/x
  3. Step 3: Cross multiply
    282,883.14x = 390,267.36 × 161,959.32
  4. Step 4: Simplify right side
    282,883.14x = 63,207,436,243.80
  5. Step 5: Solve for x
    x = 63,207,436,243.80/282,883.14
  6. Step 6: Final answer
    x = 223,440.10

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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.