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Finding the Fourth Proportional to 277,870.50, 416,139.75 and 142,578.54

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Solution

The fourth proportional to 277,870.50, 416,139.75 and 142,578.54 is: 213,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,870.50 : 416,139.75 = 142,578.54 : x
  2. Step 2: Convert to fraction form
    277,870.50/416,139.75 = 142,578.54/x
  3. Step 3: Cross multiply
    277,870.50x = 416,139.75 × 142,578.54
  4. Step 4: Simplify right side
    277,870.50x = 59,332,597,990.97
  5. Step 5: Solve for x
    x = 59,332,597,990.97/277,870.50
  6. Step 6: Final answer
    x = 213,526.08

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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.