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Finding the Fourth Proportional to 428,219.84, 642,127.08 and 158,259.44

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Solution

The fourth proportional to 428,219.84, 642,127.08 and 158,259.44 is: 237,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,219.84 : 642,127.08 = 158,259.44 : x
  2. Step 2: Convert to fraction form
    428,219.84/642,127.08 = 158,259.44/x
  3. Step 3: Cross multiply
    428,219.84x = 642,127.08 × 158,259.44
  4. Step 4: Simplify right side
    428,219.84x = 101,622,672,089.64
  5. Step 5: Solve for x
    x = 101,622,672,089.64/428,219.84
  6. Step 6: Final answer
    x = 237,314.25

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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.