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Finding the Fourth Proportional to 313,722.56, 470,612.04 and 89,085.20

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Solution

The fourth proportional to 313,722.56, 470,612.04 and 89,085.20 is: 133,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.56 : 470,612.04 = 89,085.20 : x
  2. Step 2: Convert to fraction form
    313,722.56/470,612.04 = 89,085.20/x
  3. Step 3: Cross multiply
    313,722.56x = 470,612.04 × 89,085.20
  4. Step 4: Simplify right side
    313,722.56x = 41,924,567,705.81
  5. Step 5: Solve for x
    x = 41,924,567,705.81/313,722.56
  6. Step 6: Final answer
    x = 133,635.81

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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.