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Finding the Fourth Proportional to 428,690.50, 642,519.96 and 158,603.28

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Solution

The fourth proportional to 428,690.50, 642,519.96 and 158,603.28 is: 237,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,690.50 : 642,519.96 = 158,603.28 : x
  2. Step 2: Convert to fraction form
    428,690.50/642,519.96 = 158,603.28/x
  3. Step 3: Cross multiply
    428,690.50x = 642,519.96 × 158,603.28
  4. Step 4: Simplify right side
    428,690.50x = 101,905,773,121.47
  5. Step 5: Solve for x
    x = 101,905,773,121.47/428,690.50
  6. Step 6: Final answer
    x = 237,714.09

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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.