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Finding the Fourth Proportional to 313,641.48, 470,462.60 and 85,939.04

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Solution

The fourth proportional to 313,641.48, 470,462.60 and 85,939.04 is: 128,908.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,641.48 : 470,462.60 = 85,939.04 : x
  2. Step 2: Convert to fraction form
    313,641.48/470,462.60 = 85,939.04/x
  3. Step 3: Cross multiply
    313,641.48x = 470,462.60 × 85,939.04
  4. Step 4: Simplify right side
    313,641.48x = 40,431,104,199.90
  5. Step 5: Solve for x
    x = 40,431,104,199.90/313,641.48
  6. Step 6: Final answer
    x = 128,908.66

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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.