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Finding the Fourth Proportional to 428,394.28, 642,711.82 and 158,518.44

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Solution

The fourth proportional to 428,394.28, 642,711.82 and 158,518.44 is: 237,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,394.28 : 642,711.82 = 158,518.44 : x
  2. Step 2: Convert to fraction form
    428,394.28/642,711.82 = 158,518.44/x
  3. Step 3: Cross multiply
    428,394.28x = 642,711.82 × 158,518.44
  4. Step 4: Simplify right side
    428,394.28x = 101,881,675,075.96
  5. Step 5: Solve for x
    x = 101,881,675,075.96/428,394.28
  6. Step 6: Final answer
    x = 237,822.21

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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.