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Finding the Fourth Proportional to 217,236.42, 299,472.12 and 152,508.57

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Solution

The fourth proportional to 217,236.42, 299,472.12 and 152,508.57 is: 210,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,236.42 : 299,472.12 = 152,508.57 : x
  2. Step 2: Convert to fraction form
    217,236.42/299,472.12 = 152,508.57/x
  3. Step 3: Cross multiply
    217,236.42x = 299,472.12 × 152,508.57
  4. Step 4: Simplify right side
    217,236.42x = 45,672,064,776.07
  5. Step 5: Solve for x
    x = 45,672,064,776.07/217,236.42
  6. Step 6: Final answer
    x = 210,241.29

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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.