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Finding the Fourth Proportional to 313,487.43, 470,248.92 and 100,274.07

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Solution

The fourth proportional to 313,487.43, 470,248.92 and 100,274.07 is: 150,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,487.43 : 470,248.92 = 100,274.07 : x
  2. Step 2: Convert to fraction form
    313,487.43/470,248.92 = 100,274.07/x
  3. Step 3: Cross multiply
    313,487.43x = 470,248.92 × 100,274.07
  4. Step 4: Simplify right side
    313,487.43x = 47,153,773,121.50
  5. Step 5: Solve for x
    x = 47,153,773,121.50/313,487.43
  6. Step 6: Final answer
    x = 150,416.79

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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.