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Finding the Fourth Proportional to 255,914.32, 383,113.32 and 189,652

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Solution

The fourth proportional to 255,914.32, 383,113.32 and 189,652 is: 283,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,914.32 : 383,113.32 = 189,652 : x
  2. Step 2: Convert to fraction form
    255,914.32/383,113.32 = 189,652/x
  3. Step 3: Cross multiply
    255,914.32x = 383,113.32 × 189,652
  4. Step 4: Simplify right side
    255,914.32x = 72,658,207,364.64
  5. Step 5: Solve for x
    x = 72,658,207,364.64/255,914.32
  6. Step 6: Final answer
    x = 283,916.15

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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.