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Finding the Fourth Proportional to 217,222.90, 299,453.49 and 152,495.06

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Solution

The fourth proportional to 217,222.90, 299,453.49 and 152,495.06 is: 210,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,222.90 : 299,453.49 = 152,495.06 : x
  2. Step 2: Convert to fraction form
    217,222.90/299,453.49 = 152,495.06/x
  3. Step 3: Cross multiply
    217,222.90x = 299,453.49 × 152,495.06
  4. Step 4: Simplify right side
    217,222.90x = 45,665,176,427.49
  5. Step 5: Solve for x
    x = 45,665,176,427.49/217,222.90
  6. Step 6: Final answer
    x = 210,222.67

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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.