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Finding the Fourth Proportional to 489,403.21, 734,072.01 and 134,387.50

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Solution

The fourth proportional to 489,403.21, 734,072.01 and 134,387.50 is: 201,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,403.21 : 734,072.01 = 134,387.50 : x
  2. Step 2: Convert to fraction form
    489,403.21/734,072.01 = 134,387.50/x
  3. Step 3: Cross multiply
    489,403.21x = 734,072.01 × 134,387.50
  4. Step 4: Simplify right side
    489,403.21x = 98,650,102,243.88
  5. Step 5: Solve for x
    x = 98,650,102,243.88/489,403.21
  6. Step 6: Final answer
    x = 201,572.24

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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.