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Finding the Fourth Proportional to 383,765.69, 529,742.57 and 288,548.98

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Solution

The fourth proportional to 383,765.69, 529,742.57 and 288,548.98 is: 398,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,765.69 : 529,742.57 = 288,548.98 : x
  2. Step 2: Convert to fraction form
    383,765.69/529,742.57 = 288,548.98/x
  3. Step 3: Cross multiply
    383,765.69x = 529,742.57 × 288,548.98
  4. Step 4: Simplify right side
    383,765.69x = 152,856,674,144.62
  5. Step 5: Solve for x
    x = 152,856,674,144.62/383,765.69
  6. Step 6: Final answer
    x = 398,307.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.