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Finding the Fourth Proportional to 390,154.73, 538,411.86 and 218,072.45

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Solution

The fourth proportional to 390,154.73, 538,411.86 and 218,072.45 is: 300,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,154.73 : 538,411.86 = 218,072.45 : x
  2. Step 2: Convert to fraction form
    390,154.73/538,411.86 = 218,072.45/x
  3. Step 3: Cross multiply
    390,154.73x = 538,411.86 × 218,072.45
  4. Step 4: Simplify right side
    390,154.73x = 117,412,794,765.29
  5. Step 5: Solve for x
    x = 117,412,794,765.29/390,154.73
  6. Step 6: Final answer
    x = 300,939.06

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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.