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Finding the Fourth Proportional to 702,703.07, 969,730.55 and 380,413.16

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Solution

The fourth proportional to 702,703.07, 969,730.55 and 380,413.16 is: 524,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,703.07 : 969,730.55 = 380,413.16 : x
  2. Step 2: Convert to fraction form
    702,703.07/969,730.55 = 380,413.16/x
  3. Step 3: Cross multiply
    702,703.07x = 969,730.55 × 380,413.16
  4. Step 4: Simplify right side
    702,703.07x = 368,898,258,976.42
  5. Step 5: Solve for x
    x = 368,898,258,976.42/702,703.07
  6. Step 6: Final answer
    x = 524,970.33

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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.