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Finding the Fourth Proportional to 255,314.17, 382,705.03 and 142,829.47

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Solution

The fourth proportional to 255,314.17, 382,705.03 and 142,829.47 is: 214,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,314.17 : 382,705.03 = 142,829.47 : x
  2. Step 2: Convert to fraction form
    255,314.17/382,705.03 = 142,829.47/x
  3. Step 3: Cross multiply
    255,314.17x = 382,705.03 × 142,829.47
  4. Step 4: Simplify right side
    255,314.17x = 54,661,556,601.23
  5. Step 5: Solve for x
    x = 54,661,556,601.23/255,314.17
  6. Step 6: Final answer
    x = 214,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.