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Finding the Fourth Proportional to 380,408.66, 525,510.77 and 303,827.21

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Solution

The fourth proportional to 380,408.66, 525,510.77 and 303,827.21 is: 419,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,408.66 : 525,510.77 = 303,827.21 : x
  2. Step 2: Convert to fraction form
    380,408.66/525,510.77 = 303,827.21/x
  3. Step 3: Cross multiply
    380,408.66x = 525,510.77 × 303,827.21
  4. Step 4: Simplify right side
    380,408.66x = 159,664,470,868.69
  5. Step 5: Solve for x
    x = 159,664,470,868.69/380,408.66
  6. Step 6: Final answer
    x = 419,718.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.