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Finding the Fourth Proportional to 386,897.81, 533,040.66 and 299,381.97

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Solution

The fourth proportional to 386,897.81, 533,040.66 and 299,381.97 is: 412,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,897.81 : 533,040.66 = 299,381.97 : x
  2. Step 2: Convert to fraction form
    386,897.81/533,040.66 = 299,381.97/x
  3. Step 3: Cross multiply
    386,897.81x = 533,040.66 × 299,381.97
  4. Step 4: Simplify right side
    386,897.81x = 159,582,761,383.99
  5. Step 5: Solve for x
    x = 159,582,761,383.99/386,897.81
  6. Step 6: Final answer
    x = 412,467.47

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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.