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Finding the Fourth Proportional to 419,413.48, 629,390.88 and 153,151.70

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Solution

The fourth proportional to 419,413.48, 629,390.88 and 153,151.70 is: 229,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,413.48 : 629,390.88 = 153,151.70 : x
  2. Step 2: Convert to fraction form
    419,413.48/629,390.88 = 153,151.70/x
  3. Step 3: Cross multiply
    419,413.48x = 629,390.88 × 153,151.70
  4. Step 4: Simplify right side
    419,413.48x = 96,392,283,236.50
  5. Step 5: Solve for x
    x = 96,392,283,236.50/419,413.48
  6. Step 6: Final answer
    x = 229,826.38

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1.5x scale

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.