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Finding the Fourth Proportional to 313,736.64, 470,678.76 and 103,374.57

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Solution

The fourth proportional to 313,736.64, 470,678.76 and 103,374.57 is: 155,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,736.64 : 470,678.76 = 103,374.57 : x
  2. Step 2: Convert to fraction form
    313,736.64/470,678.76 = 103,374.57/x
  3. Step 3: Cross multiply
    313,736.64x = 470,678.76 × 103,374.57
  4. Step 4: Simplify right side
    313,736.64x = 48,656,214,423.13
  5. Step 5: Solve for x
    x = 48,656,214,423.13/313,736.64
  6. Step 6: Final answer
    x = 155,086.17

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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.