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Finding the Fourth Proportional to 282,774.26, 390,228.48 and 155,449.87

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Solution

The fourth proportional to 282,774.26, 390,228.48 and 155,449.87 is: 214,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,774.26 : 390,228.48 = 155,449.87 : x
  2. Step 2: Convert to fraction form
    282,774.26/390,228.48 = 155,449.87/x
  3. Step 3: Cross multiply
    282,774.26x = 390,228.48 × 155,449.87
  4. Step 4: Simplify right side
    282,774.26x = 60,660,964,535.16
  5. Step 5: Solve for x
    x = 60,660,964,535.16/282,774.26
  6. Step 6: Final answer
    x = 214,520.81

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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.