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Finding the Fourth Proportional to 313,902.30, 470,680.64 and 103,431.90

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Solution

The fourth proportional to 313,902.30, 470,680.64 and 103,431.90 is: 155,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,902.30 : 470,680.64 = 103,431.90 : x
  2. Step 2: Convert to fraction form
    313,902.30/470,680.64 = 103,431.90/x
  3. Step 3: Cross multiply
    313,902.30x = 470,680.64 × 103,431.90
  4. Step 4: Simplify right side
    313,902.30x = 48,683,392,888.42
  5. Step 5: Solve for x
    x = 48,683,392,888.42/313,902.30
  6. Step 6: Final answer
    x = 155,090.91

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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.