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Finding the Fourth Proportional to 255,567.63, 382,860.12 and 142,906.15

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Solution

The fourth proportional to 255,567.63, 382,860.12 and 142,906.15 is: 214,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,567.63 : 382,860.12 = 142,906.15 : x
  2. Step 2: Convert to fraction form
    255,567.63/382,860.12 = 142,906.15/x
  3. Step 3: Cross multiply
    255,567.63x = 382,860.12 × 142,906.15
  4. Step 4: Simplify right side
    255,567.63x = 54,713,063,823.44
  5. Step 5: Solve for x
    x = 54,713,063,823.44/255,567.63
  6. Step 6: Final answer
    x = 214,084.48

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1.5x scale

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.