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Finding the Fourth Proportional to 255,413.84, 383,119.62 and 77,920.24

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Solution

The fourth proportional to 255,413.84, 383,119.62 and 77,920.24 is: 116,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413.84 : 383,119.62 = 77,920.24 : x
  2. Step 2: Convert to fraction form
    255,413.84/383,119.62 = 77,920.24/x
  3. Step 3: Cross multiply
    255,413.84x = 383,119.62 × 77,920.24
  4. Step 4: Simplify right side
    255,413.84x = 29,852,772,739.11
  5. Step 5: Solve for x
    x = 29,852,772,739.11/255,413.84
  6. Step 6: Final answer
    x = 116,880.01

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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.