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Finding the Fourth Proportional to 397,872.68, 596,828.85 and 113,605.40

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Solution

The fourth proportional to 397,872.68, 596,828.85 and 113,605.40 is: 170,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,872.68 : 596,828.85 = 113,605.40 : x
  2. Step 2: Convert to fraction form
    397,872.68/596,828.85 = 113,605.40/x
  3. Step 3: Cross multiply
    397,872.68x = 596,828.85 × 113,605.40
  4. Step 4: Simplify right side
    397,872.68x = 67,802,980,235.79
  5. Step 5: Solve for x
    x = 67,802,980,235.79/397,872.68
  6. Step 6: Final answer
    x = 170,413.76

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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.