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Finding the Fourth Proportional to 700,309.09, 966,413.42 and 428,357.01

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Solution

The fourth proportional to 700,309.09, 966,413.42 and 428,357.01 is: 591,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,309.09 : 966,413.42 = 428,357.01 : x
  2. Step 2: Convert to fraction form
    700,309.09/966,413.42 = 428,357.01/x
  3. Step 3: Cross multiply
    700,309.09x = 966,413.42 × 428,357.01
  4. Step 4: Simplify right side
    700,309.09x = 413,969,963,015.07
  5. Step 5: Solve for x
    x = 413,969,963,015.07/700,309.09
  6. Step 6: Final answer
    x = 591,124.65

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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.