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Finding the Fourth Proportional to 446,413.68, 669,645.54 and 142,834.32

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Solution

The fourth proportional to 446,413.68, 669,645.54 and 142,834.32 is: 214,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,413.68 : 669,645.54 = 142,834.32 : x
  2. Step 2: Convert to fraction form
    446,413.68/669,645.54 = 142,834.32/x
  3. Step 3: Cross multiply
    446,413.68x = 669,645.54 × 142,834.32
  4. Step 4: Simplify right side
    446,413.68x = 95,648,365,346.93
  5. Step 5: Solve for x
    x = 95,648,365,346.93/446,413.68
  6. Step 6: Final answer
    x = 214,259.49

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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.