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Finding the Fourth Proportional to 217,235.92, 299,471.43 and 152,508.07

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Solution

The fourth proportional to 217,235.92, 299,471.43 and 152,508.07 is: 210,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,235.92 : 299,471.43 = 152,508.07 : x
  2. Step 2: Convert to fraction form
    217,235.92/299,471.43 = 152,508.07/x
  3. Step 3: Cross multiply
    217,235.92x = 299,471.43 × 152,508.07
  4. Step 4: Simplify right side
    217,235.92x = 45,671,809,809.44
  5. Step 5: Solve for x
    x = 45,671,809,809.44/217,235.92
  6. Step 6: Final answer
    x = 210,240.60

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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.