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Finding the Fourth Proportional to 282,815.34, 390,229.21 and 158,640.32

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Solution

The fourth proportional to 282,815.34, 390,229.21 and 158,640.32 is: 218,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,815.34 : 390,229.21 = 158,640.32 : x
  2. Step 2: Convert to fraction form
    282,815.34/390,229.21 = 158,640.32/x
  3. Step 3: Cross multiply
    282,815.34x = 390,229.21 × 158,640.32
  4. Step 4: Simplify right side
    282,815.34x = 61,906,084,400.00
  5. Step 5: Solve for x
    x = 61,906,084,400.00/282,815.34
  6. Step 6: Final answer
    x = 218,892.24

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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.