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Finding the Fourth Proportional to 501,159.35, 691,639.83 and 283,413.88

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Solution

The fourth proportional to 501,159.35, 691,639.83 and 283,413.88 is: 391,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,159.35 : 691,639.83 = 283,413.88 : x
  2. Step 2: Convert to fraction form
    501,159.35/691,639.83 = 283,413.88/x
  3. Step 3: Cross multiply
    501,159.35x = 691,639.83 × 283,413.88
  4. Step 4: Simplify right side
    501,159.35x = 196,020,328,647.39
  5. Step 5: Solve for x
    x = 196,020,328,647.39/501,159.35
  6. Step 6: Final answer
    x = 391,133.73

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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.