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Finding the Fourth Proportional to 405,289.50, 607,934.26 and 109,801.50

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Solution

The fourth proportional to 405,289.50, 607,934.26 and 109,801.50 is: 164,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,289.50 : 607,934.26 = 109,801.50 : x
  2. Step 2: Convert to fraction form
    405,289.50/607,934.26 = 109,801.50/x
  3. Step 3: Cross multiply
    405,289.50x = 607,934.26 × 109,801.50
  4. Step 4: Simplify right side
    405,289.50x = 66,752,093,649.39
  5. Step 5: Solve for x
    x = 66,752,093,649.39/405,289.50
  6. Step 6: Final answer
    x = 164,702.25

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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.