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Finding the Fourth Proportional to 491,413.34, 678,038.20 and 276,474.98

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Solution

The fourth proportional to 491,413.34, 678,038.20 and 276,474.98 is: 381,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,413.34 : 678,038.20 = 276,474.98 : x
  2. Step 2: Convert to fraction form
    491,413.34/678,038.20 = 276,474.98/x
  3. Step 3: Cross multiply
    491,413.34x = 678,038.20 × 276,474.98
  4. Step 4: Simplify right side
    491,413.34x = 187,460,597,784.24
  5. Step 5: Solve for x
    x = 187,460,597,784.24/491,413.34
  6. Step 6: Final answer
    x = 381,472.34

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1.5x scale

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.