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Finding the Fourth Proportional to 255,830.40, 353,134.08 and 153,912.96

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Solution

The fourth proportional to 255,830.40, 353,134.08 and 153,912.96 is: 212,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,830.40 : 353,134.08 = 153,912.96 : x
  2. Step 2: Convert to fraction form
    255,830.40/353,134.08 = 153,912.96/x
  3. Step 3: Cross multiply
    255,830.40x = 353,134.08 × 153,912.96
  4. Step 4: Simplify right side
    255,830.40x = 54,351,911,529.68
  5. Step 5: Solve for x
    x = 54,351,911,529.68/255,830.40
  6. Step 6: Final answer
    x = 212,452.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.