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Finding the Fourth Proportional to 255,971.32, 383,658 and 192,587.80

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Solution

The fourth proportional to 255,971.32, 383,658 and 192,587.80 is: 288,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,971.32 : 383,658 = 192,587.80 : x
  2. Step 2: Convert to fraction form
    255,971.32/383,658 = 192,587.80/x
  3. Step 3: Cross multiply
    255,971.32x = 383,658 × 192,587.80
  4. Step 4: Simplify right side
    255,971.32x = 73,887,850,172.40
  5. Step 5: Solve for x
    x = 73,887,850,172.40/255,971.32
  6. Step 6: Final answer
    x = 288,656.75

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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.