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Finding the Fourth Proportional to 428,804.23, 643,074.57 and 296,534.47

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Solution

The fourth proportional to 428,804.23, 643,074.57 and 296,534.47 is: 444,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,804.23 : 643,074.57 = 296,534.47 : x
  2. Step 2: Convert to fraction form
    428,804.23/643,074.57 = 296,534.47/x
  3. Step 3: Cross multiply
    428,804.23x = 643,074.57 × 296,534.47
  4. Step 4: Simplify right side
    428,804.23x = 190,693,776,785.43
  5. Step 5: Solve for x
    x = 190,693,776,785.43/428,804.23
  6. Step 6: Final answer
    x = 444,710.58

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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.