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Finding the Fourth Proportional to 277,674.51, 416,527.90 and 78,010.46

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Solution

The fourth proportional to 277,674.51, 416,527.90 and 78,010.46 is: 117,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,674.51 : 416,527.90 = 78,010.46 : x
  2. Step 2: Convert to fraction form
    277,674.51/416,527.90 = 78,010.46/x
  3. Step 3: Cross multiply
    277,674.51x = 416,527.90 × 78,010.46
  4. Step 4: Simplify right side
    277,674.51x = 32,493,533,765.85
  5. Step 5: Solve for x
    x = 32,493,533,765.85/277,674.51
  6. Step 6: Final answer
    x = 117,020.23

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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.