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Finding the Fourth Proportional to 383,854.50, 529,719.21 and 214,088.76

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Solution

The fourth proportional to 383,854.50, 529,719.21 and 214,088.76 is: 295,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854.50 : 529,719.21 = 214,088.76 : x
  2. Step 2: Convert to fraction form
    383,854.50/529,719.21 = 214,088.76/x
  3. Step 3: Cross multiply
    383,854.50x = 529,719.21 × 214,088.76
  4. Step 4: Simplify right side
    383,854.50x = 113,406,928,817.08
  5. Step 5: Solve for x
    x = 113,406,928,817.08/383,854.50
  6. Step 6: Final answer
    x = 295,442.49

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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.