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Finding the Fourth Proportional to 713,413.80, 984,473.52 and 407,429.76

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Solution

The fourth proportional to 713,413.80, 984,473.52 and 407,429.76 is: 562,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,413.80 : 984,473.52 = 407,429.76 : x
  2. Step 2: Convert to fraction form
    713,413.80/984,473.52 = 407,429.76/x
  3. Step 3: Cross multiply
    713,413.80x = 984,473.52 × 407,429.76
  4. Step 4: Simplify right side
    713,413.80x = 401,103,809,979.96
  5. Step 5: Solve for x
    x = 401,103,809,979.96/713,413.80
  6. Step 6: Final answer
    x = 562,231.64

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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.