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Finding the Fourth Proportional to 490,413.30, 735,640.34 and 153,460.46

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Solution

The fourth proportional to 490,413.30, 735,640.34 and 153,460.46 is: 230,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,413.30 : 735,640.34 = 153,460.46 : x
  2. Step 2: Convert to fraction form
    490,413.30/735,640.34 = 153,460.46/x
  3. Step 3: Cross multiply
    490,413.30x = 735,640.34 × 153,460.46
  4. Step 4: Simplify right side
    490,413.30x = 112,891,700,525.45
  5. Step 5: Solve for x
    x = 112,891,700,525.45/490,413.30
  6. Step 6: Final answer
    x = 230,197.06

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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.