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Finding the Fourth Proportional to 313,811.40, 470,717.10 and 313,811.40

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Solution

The fourth proportional to 313,811.40, 470,717.10 and 313,811.40 is: 470,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,811.40 : 470,717.10 = 313,811.40 : x
  2. Step 2: Convert to fraction form
    313,811.40/470,717.10 = 313,811.40/x
  3. Step 3: Cross multiply
    313,811.40x = 470,717.10 × 313,811.40
  4. Step 4: Simplify right side
    313,811.40x = 147,716,392,154.94
  5. Step 5: Solve for x
    x = 147,716,392,154.94/313,811.40
  6. Step 6: Final answer
    x = 470,717.10

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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.