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Finding the Fourth Proportional to 428,644.66, 642,835.70 and 296,374.90

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Solution

The fourth proportional to 428,644.66, 642,835.70 and 296,374.90 is: 444,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,644.66 : 642,835.70 = 296,374.90 : x
  2. Step 2: Convert to fraction form
    428,644.66/642,835.70 = 296,374.90/x
  3. Step 3: Cross multiply
    428,644.66x = 642,835.70 × 296,374.90
  4. Step 4: Simplify right side
    428,644.66x = 190,520,366,303.93
  5. Step 5: Solve for x
    x = 190,520,366,303.93/428,644.66
  6. Step 6: Final answer
    x = 444,471.57

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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.