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Finding the Fourth Proportional to 651,959.20, 978,376.20 and 385,436.80

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Solution

The fourth proportional to 651,959.20, 978,376.20 and 385,436.80 is: 578,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,959.20 : 978,376.20 = 385,436.80 : x
  2. Step 2: Convert to fraction form
    651,959.20/978,376.20 = 385,436.80/x
  3. Step 3: Cross multiply
    651,959.20x = 978,376.20 × 385,436.80
  4. Step 4: Simplify right side
    651,959.20x = 377,102,191,724.16
  5. Step 5: Solve for x
    x = 377,102,191,724.16/651,959.20
  6. Step 6: Final answer
    x = 578,413.79

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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.