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Finding the Fourth Proportional to 428,656.26, 642,938.85 and 175,963.26

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Solution

The fourth proportional to 428,656.26, 642,938.85 and 175,963.26 is: 263,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,656.26 : 642,938.85 = 175,963.26 : x
  2. Step 2: Convert to fraction form
    428,656.26/642,938.85 = 175,963.26/x
  3. Step 3: Cross multiply
    428,656.26x = 642,938.85 × 175,963.26
  4. Step 4: Simplify right side
    428,656.26x = 113,133,616,026.65
  5. Step 5: Solve for x
    x = 113,133,616,026.65/428,656.26
  6. Step 6: Final answer
    x = 263,926.20

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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.