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Finding the Fourth Proportional to 306,676.45, 460,108.80 and 157,021.81

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Solution

The fourth proportional to 306,676.45, 460,108.80 and 157,021.81 is: 235,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,676.45 : 460,108.80 = 157,021.81 : x
  2. Step 2: Convert to fraction form
    306,676.45/460,108.80 = 157,021.81/x
  3. Step 3: Cross multiply
    306,676.45x = 460,108.80 × 157,021.81
  4. Step 4: Simplify right side
    306,676.45x = 72,247,116,572.93
  5. Step 5: Solve for x
    x = 72,247,116,572.93/306,676.45
  6. Step 6: Final answer
    x = 235,580.91

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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.