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Finding the Fourth Proportional to 282,625.82, 390,019.26 and 155,298.68

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Solution

The fourth proportional to 282,625.82, 390,019.26 and 155,298.68 is: 214,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,625.82 : 390,019.26 = 155,298.68 : x
  2. Step 2: Convert to fraction form
    282,625.82/390,019.26 = 155,298.68/x
  3. Step 3: Cross multiply
    282,625.82x = 390,019.26 × 155,298.68
  4. Step 4: Simplify right side
    282,625.82x = 60,569,476,252.58
  5. Step 5: Solve for x
    x = 60,569,476,252.58/282,625.82
  6. Step 6: Final answer
    x = 214,309.78

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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.