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Finding the Fourth Proportional to 519,436.80, 779,228.10 and 164,413.80

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Solution

The fourth proportional to 519,436.80, 779,228.10 and 164,413.80 is: 246,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,436.80 : 779,228.10 = 164,413.80 : x
  2. Step 2: Convert to fraction form
    519,436.80/779,228.10 = 164,413.80/x
  3. Step 3: Cross multiply
    519,436.80x = 779,228.10 × 164,413.80
  4. Step 4: Simplify right side
    519,436.80x = 128,115,852,987.78
  5. Step 5: Solve for x
    x = 128,115,852,987.78/519,436.80
  6. Step 6: Final answer
    x = 246,643.77

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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.