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Finding the Fourth Proportional to 310,389.70, 465,579.94 and 85,745.16

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Solution

The fourth proportional to 310,389.70, 465,579.94 and 85,745.16 is: 128,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,389.70 : 465,579.94 = 85,745.16 : x
  2. Step 2: Convert to fraction form
    310,389.70/465,579.94 = 85,745.16/x
  3. Step 3: Cross multiply
    310,389.70x = 465,579.94 × 85,745.16
  4. Step 4: Simplify right side
    310,389.70x = 39,921,226,448.09
  5. Step 5: Solve for x
    x = 39,921,226,448.09/310,389.70
  6. Step 6: Final answer
    x = 128,616.47

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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.