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Finding the Fourth Proportional to 492,038.34, 679,019.73 and 274,240.98

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Solution

The fourth proportional to 492,038.34, 679,019.73 and 274,240.98 is: 378,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,038.34 : 679,019.73 = 274,240.98 : x
  2. Step 2: Convert to fraction form
    492,038.34/679,019.73 = 274,240.98/x
  3. Step 3: Cross multiply
    492,038.34x = 679,019.73 × 274,240.98
  4. Step 4: Simplify right side
    492,038.34x = 186,215,036,194.54
  5. Step 5: Solve for x
    x = 186,215,036,194.54/492,038.34
  6. Step 6: Final answer
    x = 378,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.