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Finding the Fourth Proportional to 428,950.46, 591,978.22 and 247,695.14

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Solution

The fourth proportional to 428,950.46, 591,978.22 and 247,695.14 is: 341,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,950.46 : 591,978.22 = 247,695.14 : x
  2. Step 2: Convert to fraction form
    428,950.46/591,978.22 = 247,695.14/x
  3. Step 3: Cross multiply
    428,950.46x = 591,978.22 × 247,695.14
  4. Step 4: Simplify right side
    428,950.46x = 146,630,124,500.72
  5. Step 5: Solve for x
    x = 146,630,124,500.72/428,950.46
  6. Step 6: Final answer
    x = 341,834.64

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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.