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Finding the Fourth Proportional to 428,640.63, 641,699.69 and 286,132.45

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Solution

The fourth proportional to 428,640.63, 641,699.69 and 286,132.45 is: 428,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,640.63 : 641,699.69 = 286,132.45 : x
  2. Step 2: Convert to fraction form
    428,640.63/641,699.69 = 286,132.45/x
  3. Step 3: Cross multiply
    428,640.63x = 641,699.69 × 286,132.45
  4. Step 4: Simplify right side
    428,640.63x = 183,611,101,729.83
  5. Step 5: Solve for x
    x = 183,611,101,729.83/428,640.63
  6. Step 6: Final answer
    x = 428,356.73

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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.