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Finding the Fourth Proportional to 231,853.48, 319,411.56 and 217,903.15

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Solution

The fourth proportional to 231,853.48, 319,411.56 and 217,903.15 is: 300,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.48 : 319,411.56 = 217,903.15 : x
  2. Step 2: Convert to fraction form
    231,853.48/319,411.56 = 217,903.15/x
  3. Step 3: Cross multiply
    231,853.48x = 319,411.56 × 217,903.15
  4. Step 4: Simplify right side
    231,853.48x = 69,600,785,070.41
  5. Step 5: Solve for x
    x = 69,600,785,070.41/231,853.48
  6. Step 6: Final answer
    x = 300,192.97

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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.