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Finding the Fourth Proportional to 217,234.92, 299,470.05 and 152,507.07

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Solution

The fourth proportional to 217,234.92, 299,470.05 and 152,507.07 is: 210,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,234.92 : 299,470.05 = 152,507.07 : x
  2. Step 2: Convert to fraction form
    217,234.92/299,470.05 = 152,507.07/x
  3. Step 3: Cross multiply
    217,234.92x = 299,470.05 × 152,507.07
  4. Step 4: Simplify right side
    217,234.92x = 45,671,299,878.25
  5. Step 5: Solve for x
    x = 45,671,299,878.25/217,234.92
  6. Step 6: Final answer
    x = 210,239.22

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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.