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Finding the Fourth Proportional to 255,804.90, 383,488.56 and 98,146.50

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Solution

The fourth proportional to 255,804.90, 383,488.56 and 98,146.50 is: 147,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,804.90 : 383,488.56 = 98,146.50 : x
  2. Step 2: Convert to fraction form
    255,804.90/383,488.56 = 98,146.50/x
  3. Step 3: Cross multiply
    255,804.90x = 383,488.56 × 98,146.50
  4. Step 4: Simplify right side
    255,804.90x = 37,638,059,954.04
  5. Step 5: Solve for x
    x = 37,638,059,954.04/255,804.90
  6. Step 6: Final answer
    x = 147,135.81

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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.