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Finding the Fourth Proportional to 390,399.65, 538,752.96 and 227,095.34

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Solution

The fourth proportional to 390,399.65, 538,752.96 and 227,095.34 is: 313,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,399.65 : 538,752.96 = 227,095.34 : x
  2. Step 2: Convert to fraction form
    390,399.65/538,752.96 = 227,095.34/x
  3. Step 3: Cross multiply
    390,399.65x = 538,752.96 × 227,095.34
  4. Step 4: Simplify right side
    390,399.65x = 122,348,283,933.44
  5. Step 5: Solve for x
    x = 122,348,283,933.44/390,399.65
  6. Step 6: Final answer
    x = 313,392.41

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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.