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Finding the Fourth Proportional to 290,413,608.80, 435,620,413.20 and 137,358,600.80

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Solution

The fourth proportional to 290,413,608.80, 435,620,413.20 and 137,358,600.80 is: 206,037,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413,608.80 : 435,620,413.20 = 137,358,600.80 : x
  2. Step 2: Convert to fraction form
    290,413,608.80/435,620,413.20 = 137,358,600.80/x
  3. Step 3: Cross multiply
    290,413,608.80x = 435,620,413.20 × 137,358,600.80
  4. Step 4: Simplify right side
    290,413,608.80x = 59,836,210,437,069,856
  5. Step 5: Solve for x
    x = 59,836,210,437,069,856/290,413,608.80
  6. Step 6: Final answer
    x = 206,037,901.20

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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.