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Finding the Fourth Proportional to 255,538.64, 383,048.76 and 122,223.44

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Solution

The fourth proportional to 255,538.64, 383,048.76 and 122,223.44 is: 183,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538.64 : 383,048.76 = 122,223.44 : x
  2. Step 2: Convert to fraction form
    255,538.64/383,048.76 = 122,223.44/x
  3. Step 3: Cross multiply
    255,538.64x = 383,048.76 × 122,223.44
  4. Step 4: Simplify right side
    255,538.64x = 46,817,537,134.93
  5. Step 5: Solve for x
    x = 46,817,537,134.93/255,538.64
  6. Step 6: Final answer
    x = 183,211.19

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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.