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Finding the Fourth Proportional to 255,538.40, 382,883.85 and 155,395.67

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Solution

The fourth proportional to 255,538.40, 382,883.85 and 155,395.67 is: 232,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538.40 : 382,883.85 = 155,395.67 : x
  2. Step 2: Convert to fraction form
    255,538.40/382,883.85 = 155,395.67/x
  3. Step 3: Cross multiply
    255,538.40x = 382,883.85 × 155,395.67
  4. Step 4: Simplify right side
    255,538.40x = 59,498,490,100.02
  5. Step 5: Solve for x
    x = 59,498,490,100.02/255,538.40
  6. Step 6: Final answer
    x = 232,835.81

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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.