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Finding the Fourth Proportional to 255,413.57, 382,775.90 and 129,142.89

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Solution

The fourth proportional to 255,413.57, 382,775.90 and 129,142.89 is: 193,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413.57 : 382,775.90 = 129,142.89 : x
  2. Step 2: Convert to fraction form
    255,413.57/382,775.90 = 129,142.89/x
  3. Step 3: Cross multiply
    255,413.57x = 382,775.90 × 129,142.89
  4. Step 4: Simplify right side
    255,413.57x = 49,432,785,302.64
  5. Step 5: Solve for x
    x = 49,432,785,302.64/255,413.57
  6. Step 6: Final answer
    x = 193,540.17

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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.