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Finding the Fourth Proportional to 300,670.40, 414,830.76 and 173,328.32

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Solution

The fourth proportional to 300,670.40, 414,830.76 and 173,328.32 is: 239,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,670.40 : 414,830.76 = 173,328.32 : x
  2. Step 2: Convert to fraction form
    300,670.40/414,830.76 = 173,328.32/x
  3. Step 3: Cross multiply
    300,670.40x = 414,830.76 × 173,328.32
  4. Step 4: Simplify right side
    300,670.40x = 71,901,918,715.12
  5. Step 5: Solve for x
    x = 71,901,918,715.12/300,670.40
  6. Step 6: Final answer
    x = 239,138.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.