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Finding the Fourth Proportional to 255,888.72, 353,012.27 and 148,396.50

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Solution

The fourth proportional to 255,888.72, 353,012.27 and 148,396.50 is: 204,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,888.72 : 353,012.27 = 148,396.50 : x
  2. Step 2: Convert to fraction form
    255,888.72/353,012.27 = 148,396.50/x
  3. Step 3: Cross multiply
    255,888.72x = 353,012.27 × 148,396.50
  4. Step 4: Simplify right side
    255,888.72x = 52,385,784,583.07
  5. Step 5: Solve for x
    x = 52,385,784,583.07/255,888.72
  6. Step 6: Final answer
    x = 204,720.96

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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.