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Finding the Fourth Proportional to 217,345.28, 299,978.40 and 141,762.56

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Solution

The fourth proportional to 217,345.28, 299,978.40 and 141,762.56 is: 195,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,345.28 : 299,978.40 = 141,762.56 : x
  2. Step 2: Convert to fraction form
    217,345.28/299,978.40 = 141,762.56/x
  3. Step 3: Cross multiply
    217,345.28x = 299,978.40 × 141,762.56
  4. Step 4: Simplify right side
    217,345.28x = 42,525,705,928.70
  5. Step 5: Solve for x
    x = 42,525,705,928.70/217,345.28
  6. Step 6: Final answer
    x = 195,659.67

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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.