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Finding the Fourth Proportional to 313,305.50, 470,034.80 and 100,073.45

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Solution

The fourth proportional to 313,305.50, 470,034.80 and 100,073.45 is: 150,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.50 : 470,034.80 = 100,073.45 : x
  2. Step 2: Convert to fraction form
    313,305.50/470,034.80 = 100,073.45/x
  3. Step 3: Cross multiply
    313,305.50x = 470,034.80 × 100,073.45
  4. Step 4: Simplify right side
    313,305.50x = 47,038,001,205.52
  5. Step 5: Solve for x
    x = 47,038,001,205.52/313,305.50
  6. Step 6: Final answer
    x = 150,134.62

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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.