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Finding the Fourth Proportional to 313,892.80, 470,666.40 and 103,422.40

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Solution

The fourth proportional to 313,892.80, 470,666.40 and 103,422.40 is: 155,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892.80 : 470,666.40 = 103,422.40 : x
  2. Step 2: Convert to fraction form
    313,892.80/470,666.40 = 103,422.40/x
  3. Step 3: Cross multiply
    313,892.80x = 470,666.40 × 103,422.40
  4. Step 4: Simplify right side
    313,892.80x = 48,677,448,687.36
  5. Step 5: Solve for x
    x = 48,677,448,687.36/313,892.80
  6. Step 6: Final answer
    x = 155,076.67

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1.5x scale

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.