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Finding the Fourth Proportional to 656,413.65, 905,923.28 and 380,832.21

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Solution

The fourth proportional to 656,413.65, 905,923.28 and 380,832.21 is: 525,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,413.65 : 905,923.28 = 380,832.21 : x
  2. Step 2: Convert to fraction form
    656,413.65/905,923.28 = 380,832.21/x
  3. Step 3: Cross multiply
    656,413.65x = 905,923.28 × 380,832.21
  4. Step 4: Simplify right side
    656,413.65x = 345,004,767,077.66
  5. Step 5: Solve for x
    x = 345,004,767,077.66/656,413.65
  6. Step 6: Final answer
    x = 525,590.48

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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.