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Finding the Fourth Proportional to 516,645, 712,721.67 and 335,413.78

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Solution

The fourth proportional to 516,645, 712,721.67 and 335,413.78 is: 462,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,645 : 712,721.67 = 335,413.78 : x
  2. Step 2: Convert to fraction form
    516,645/712,721.67 = 335,413.78/x
  3. Step 3: Cross multiply
    516,645x = 712,721.67 × 335,413.78
  4. Step 4: Simplify right side
    516,645x = 239,056,666,383.01
  5. Step 5: Solve for x
    x = 239,056,666,383.01/516,645
  6. Step 6: Final answer
    x = 462,709.73

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