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Finding the Fourth Proportional to 505,930.40, 757,535.63 and 385,413.20

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Solution

The fourth proportional to 505,930.40, 757,535.63 and 385,413.20 is: 577,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,930.40 : 757,535.63 = 385,413.20 : x
  2. Step 2: Convert to fraction form
    505,930.40/757,535.63 = 385,413.20/x
  3. Step 3: Cross multiply
    505,930.40x = 757,535.63 × 385,413.20
  4. Step 4: Simplify right side
    505,930.40x = 291,964,225,557.57
  5. Step 5: Solve for x
    x = 291,964,225,557.57/505,930.40
  6. Step 6: Final answer
    x = 577,083.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.