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Finding the Fourth Proportional to 428,462.93, 642,696.69 and 128,941.47

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Solution

The fourth proportional to 428,462.93, 642,696.69 and 128,941.47 is: 193,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,462.93 : 642,696.69 = 128,941.47 : x
  2. Step 2: Convert to fraction form
    428,462.93/642,696.69 = 128,941.47/x
  3. Step 3: Cross multiply
    428,462.93x = 642,696.69 × 128,941.47
  4. Step 4: Simplify right side
    428,462.93x = 82,870,255,972.73
  5. Step 5: Solve for x
    x = 82,870,255,972.73/428,462.93
  6. Step 6: Final answer
    x = 193,412.90

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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.