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Finding the Fourth Proportional to 255,483.67, 383,270.54 and 105,640.00

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Solution

The fourth proportional to 255,483.67, 383,270.54 and 105,640.00 is: 158,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,483.67 : 383,270.54 = 105,640.00 : x
  2. Step 2: Convert to fraction form
    255,483.67/383,270.54 = 105,640.00/x
  3. Step 3: Cross multiply
    255,483.67x = 383,270.54 × 105,640.00
  4. Step 4: Simplify right side
    255,483.67x = 40,488,698,359.22
  5. Step 5: Solve for x
    x = 40,488,698,359.22/255,483.67
  6. Step 6: Final answer
    x = 158,478.62

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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.