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Finding the Fourth Proportional to 647,413.95, 971,400.78 and 347,544.36

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Solution

The fourth proportional to 647,413.95, 971,400.78 and 347,544.36 is: 521,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,413.95 : 971,400.78 = 347,544.36 : x
  2. Step 2: Convert to fraction form
    647,413.95/971,400.78 = 347,544.36/x
  3. Step 3: Cross multiply
    647,413.95x = 971,400.78 × 347,544.36
  4. Step 4: Simplify right side
    647,413.95x = 337,604,862,388.60
  5. Step 5: Solve for x
    x = 337,604,862,388.60/647,413.95
  6. Step 6: Final answer
    x = 521,466.77

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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.