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Finding the Fourth Proportional to 314,212.64, 470,949.78 and 145,376.24

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Solution

The fourth proportional to 314,212.64, 470,949.78 and 145,376.24 is: 217,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,212.64 : 470,949.78 = 145,376.24 : x
  2. Step 2: Convert to fraction form
    314,212.64/470,949.78 = 145,376.24/x
  3. Step 3: Cross multiply
    314,212.64x = 470,949.78 × 145,376.24
  4. Step 4: Simplify right side
    314,212.64x = 68,464,908,245.23
  5. Step 5: Solve for x
    x = 68,464,908,245.23/314,212.64
  6. Step 6: Final answer
    x = 217,893.55

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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.