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Finding the Fourth Proportional to 577,109.60, 796,413.68 and 315,470.16

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Solution

The fourth proportional to 577,109.60, 796,413.68 and 315,470.16 is: 435,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,109.60 : 796,413.68 = 315,470.16 : x
  2. Step 2: Convert to fraction form
    577,109.60/796,413.68 = 315,470.16/x
  3. Step 3: Cross multiply
    577,109.60x = 796,413.68 × 315,470.16
  4. Step 4: Simplify right side
    577,109.60x = 251,244,751,055.79
  5. Step 5: Solve for x
    x = 251,244,751,055.79/577,109.60
  6. Step 6: Final answer
    x = 435,350.15

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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.