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Finding the Fourth Proportional to 383,838.64, 574,986.88 and 191,132.50

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Solution

The fourth proportional to 383,838.64, 574,986.88 and 191,132.50 is: 286,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,838.64 : 574,986.88 = 191,132.50 : x
  2. Step 2: Convert to fraction form
    383,838.64/574,986.88 = 191,132.50/x
  3. Step 3: Cross multiply
    383,838.64x = 574,986.88 × 191,132.50
  4. Step 4: Simplify right side
    383,838.64x = 109,898,679,841.60
  5. Step 5: Solve for x
    x = 109,898,679,841.60/383,838.64
  6. Step 6: Final answer
    x = 286,314.79

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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.