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Finding the Fourth Proportional to 313,882.80, 470,651.40 and 103,412.40

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Solution

The fourth proportional to 313,882.80, 470,651.40 and 103,412.40 is: 155,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,882.80 : 470,651.40 = 103,412.40 : x
  2. Step 2: Convert to fraction form
    313,882.80/470,651.40 = 103,412.40/x
  3. Step 3: Cross multiply
    313,882.80x = 470,651.40 × 103,412.40
  4. Step 4: Simplify right side
    313,882.80x = 48,671,190,837.36
  5. Step 5: Solve for x
    x = 48,671,190,837.36/313,882.80
  6. Step 6: Final answer
    x = 155,061.67

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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.