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Finding the Fourth Proportional to 307,413.60, 460,828.80 and 275,920.80

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Solution

The fourth proportional to 307,413.60, 460,828.80 and 275,920.80 is: 413,619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,413.60 : 460,828.80 = 275,920.80 : x
  2. Step 2: Convert to fraction form
    307,413.60/460,828.80 = 275,920.80/x
  3. Step 3: Cross multiply
    307,413.60x = 460,828.80 × 275,920.80
  4. Step 4: Simplify right side
    307,413.60x = 127,152,251,159.04
  5. Step 5: Solve for x
    x = 127,152,251,159.04/307,413.60
  6. Step 6: Final answer
    x = 413,619.47

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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.