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Finding the Fourth Proportional to 489,735.50, 734,673.40 and 152,806.28

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Solution

The fourth proportional to 489,735.50, 734,673.40 and 152,806.28 is: 229,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,735.50 : 734,673.40 = 152,806.28 : x
  2. Step 2: Convert to fraction form
    489,735.50/734,673.40 = 152,806.28/x
  3. Step 3: Cross multiply
    489,735.50x = 734,673.40 × 152,806.28
  4. Step 4: Simplify right side
    489,735.50x = 112,262,709,268.95
  5. Step 5: Solve for x
    x = 112,262,709,268.95/489,735.50
  6. Step 6: Final answer
    x = 229,231.31

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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.