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Finding the Fourth Proportional to 428,797.92, 643,065.24 and 296,528.16

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Solution

The fourth proportional to 428,797.92, 643,065.24 and 296,528.16 is: 444,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,797.92 : 643,065.24 = 296,528.16 : x
  2. Step 2: Convert to fraction form
    428,797.92/643,065.24 = 296,528.16/x
  3. Step 3: Cross multiply
    428,797.92x = 643,065.24 × 296,528.16
  4. Step 4: Simplify right side
    428,797.92x = 190,686,952,377.16
  5. Step 5: Solve for x
    x = 190,686,952,377.16/428,797.92
  6. Step 6: Final answer
    x = 444,701.21

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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.