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Finding the Fourth Proportional to 340,212.56, 469,413.23 and 285,970.91

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Solution

The fourth proportional to 340,212.56, 469,413.23 and 285,970.91 is: 394,572.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,212.56 : 469,413.23 = 285,970.91 : x
  2. Step 2: Convert to fraction form
    340,212.56/469,413.23 = 285,970.91/x
  3. Step 3: Cross multiply
    340,212.56x = 469,413.23 × 285,970.91
  4. Step 4: Simplify right side
    340,212.56x = 134,238,524,772.22
  5. Step 5: Solve for x
    x = 134,238,524,772.22/340,212.56
  6. Step 6: Final answer
    x = 394,572.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.