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Finding the Fourth Proportional to 313,331.95, 470,063.06 and 142,472.24

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Solution

The fourth proportional to 313,331.95, 470,063.06 and 142,472.24 is: 213,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,331.95 : 470,063.06 = 142,472.24 : x
  2. Step 2: Convert to fraction form
    313,331.95/470,063.06 = 142,472.24/x
  3. Step 3: Cross multiply
    313,331.95x = 470,063.06 × 142,472.24
  4. Step 4: Simplify right side
    313,331.95x = 66,970,937,099.45
  5. Step 5: Solve for x
    x = 66,970,937,099.45/313,331.95
  6. Step 6: Final answer
    x = 213,737.98

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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.