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Finding the Fourth Proportional to 217,236.92, 299,472.81 and 152,509.07

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Solution

The fourth proportional to 217,236.92, 299,472.81 and 152,509.07 is: 210,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,236.92 : 299,472.81 = 152,509.07 : x
  2. Step 2: Convert to fraction form
    217,236.92/299,472.81 = 152,509.07/x
  3. Step 3: Cross multiply
    217,236.92x = 299,472.81 × 152,509.07
  4. Step 4: Simplify right side
    217,236.92x = 45,672,319,743.39
  5. Step 5: Solve for x
    x = 45,672,319,743.39/217,236.92
  6. Step 6: Final answer
    x = 210,241.98

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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.