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Finding the Fourth Proportional to 313,975.76, 470,979.90 and 103,630.08

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Solution

The fourth proportional to 313,975.76, 470,979.90 and 103,630.08 is: 155,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,975.76 : 470,979.90 = 103,630.08 : x
  2. Step 2: Convert to fraction form
    313,975.76/470,979.90 = 103,630.08/x
  3. Step 3: Cross multiply
    313,975.76x = 470,979.90 × 103,630.08
  4. Step 4: Simplify right side
    313,975.76x = 48,807,684,715.39
  5. Step 5: Solve for x
    x = 48,807,684,715.39/313,975.76
  6. Step 6: Final answer
    x = 155,450.49

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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.