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Finding the Fourth Proportional to 702,413.91, 969,327.62 and 380,124.08

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Solution

The fourth proportional to 702,413.91, 969,327.62 and 380,124.08 is: 524,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,413.91 : 969,327.62 = 380,124.08 : x
  2. Step 2: Convert to fraction form
    702,413.91/969,327.62 = 380,124.08/x
  3. Step 3: Cross multiply
    702,413.91x = 969,327.62 × 380,124.08
  4. Step 4: Simplify right side
    702,413.91x = 368,464,769,771.09
  5. Step 5: Solve for x
    x = 368,464,769,771.09/702,413.91
  6. Step 6: Final answer
    x = 524,569.30

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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.