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Finding the Fourth Proportional to 428,038.45, 642,100.14 and 158,237.28

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Solution

The fourth proportional to 428,038.45, 642,100.14 and 158,237.28 is: 237,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,038.45 : 642,100.14 = 158,237.28 : x
  2. Step 2: Convert to fraction form
    428,038.45/642,100.14 = 158,237.28/x
  3. Step 3: Cross multiply
    428,038.45x = 642,100.14 × 158,237.28
  4. Step 4: Simplify right side
    428,038.45x = 101,604,179,641.22
  5. Step 5: Solve for x
    x = 101,604,179,641.22/428,038.45
  6. Step 6: Final answer
    x = 237,371.62

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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.