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Finding the Fourth Proportional to 519,413.49, 779,258.49 and 164,434.77

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Solution

The fourth proportional to 519,413.49, 779,258.49 and 164,434.77 is: 246,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,413.49 : 779,258.49 = 164,434.77 : x
  2. Step 2: Convert to fraction form
    519,413.49/779,258.49 = 164,434.77/x
  3. Step 3: Cross multiply
    519,413.49x = 779,258.49 × 164,434.77
  4. Step 4: Simplify right side
    519,413.49x = 128,137,190,573.70
  5. Step 5: Solve for x
    x = 128,137,190,573.70/519,413.49
  6. Step 6: Final answer
    x = 246,695.92

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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.