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Finding the Fourth Proportional to 428,155.48, 642,631.76 and 217,950.76

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Solution

The fourth proportional to 428,155.48, 642,631.76 and 217,950.76 is: 327,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,155.48 : 642,631.76 = 217,950.76 : x
  2. Step 2: Convert to fraction form
    428,155.48/642,631.76 = 217,950.76/x
  3. Step 3: Cross multiply
    428,155.48x = 642,631.76 × 217,950.76
  4. Step 4: Simplify right side
    428,155.48x = 140,062,080,492.14
  5. Step 5: Solve for x
    x = 140,062,080,492.14/428,155.48
  6. Step 6: Final answer
    x = 327,129.02

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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.