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Finding the Fourth Proportional to 305,944.94, 458,251.95 and 147,840.50

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Solution

The fourth proportional to 305,944.94, 458,251.95 and 147,840.50 is: 221,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,944.94 : 458,251.95 = 147,840.50 : x
  2. Step 2: Convert to fraction form
    305,944.94/458,251.95 = 147,840.50/x
  3. Step 3: Cross multiply
    305,944.94x = 458,251.95 × 147,840.50
  4. Step 4: Simplify right side
    305,944.94x = 67,748,197,413.98
  5. Step 5: Solve for x
    x = 67,748,197,413.98/305,944.94
  6. Step 6: Final answer
    x = 221,439.18

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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.