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Finding the Fourth Proportional to 282,859.54, 390,290.31 and 158,684.68

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Solution

The fourth proportional to 282,859.54, 390,290.31 and 158,684.68 is: 218,953.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,859.54 : 390,290.31 = 158,684.68 : x
  2. Step 2: Convert to fraction form
    282,859.54/390,290.31 = 158,684.68/x
  3. Step 3: Cross multiply
    282,859.54x = 390,290.31 × 158,684.68
  4. Step 4: Simplify right side
    282,859.54x = 61,933,092,949.45
  5. Step 5: Solve for x
    x = 61,933,092,949.45/282,859.54
  6. Step 6: Final answer
    x = 218,953.52

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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.