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Finding the Fourth Proportional to 385,413.84, 578,155.32 and 104,932.56

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Solution

The fourth proportional to 385,413.84, 578,155.32 and 104,932.56 is: 157,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,413.84 : 578,155.32 = 104,932.56 : x
  2. Step 2: Convert to fraction form
    385,413.84/578,155.32 = 104,932.56/x
  3. Step 3: Cross multiply
    385,413.84x = 578,155.32 × 104,932.56
  4. Step 4: Simplify right side
    385,413.84x = 60,667,317,805.22
  5. Step 5: Solve for x
    x = 60,667,317,805.22/385,413.84
  6. Step 6: Final answer
    x = 157,408.25

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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.