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Finding the Fourth Proportional to 489,469.81, 734,117.13 and 311,448.01

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Solution

The fourth proportional to 489,469.81, 734,117.13 and 311,448.01 is: 467,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,469.81 : 734,117.13 = 311,448.01 : x
  2. Step 2: Convert to fraction form
    489,469.81/734,117.13 = 311,448.01/x
  3. Step 3: Cross multiply
    489,469.81x = 734,117.13 × 311,448.01
  4. Step 4: Simplify right side
    489,469.81x = 228,639,317,410.12
  5. Step 5: Solve for x
    x = 228,639,317,410.12/489,469.81
  6. Step 6: Final answer
    x = 467,116.28

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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.