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Finding the Fourth Proportional to 501,003.59, 691,413.50 and 297,175.19

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Solution

The fourth proportional to 501,003.59, 691,413.50 and 297,175.19 is: 410,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,003.59 : 691,413.50 = 297,175.19 : x
  2. Step 2: Convert to fraction form
    501,003.59/691,413.50 = 297,175.19/x
  3. Step 3: Cross multiply
    501,003.59x = 691,413.50 × 297,175.19
  4. Step 4: Simplify right side
    501,003.59x = 205,470,935,516.94
  5. Step 5: Solve for x
    x = 205,470,935,516.94/501,003.59
  6. Step 6: Final answer
    x = 410,118.69

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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.