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Finding the Fourth Proportional to 390,480.96, 538,536.24 and 309,780.56

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Solution

The fourth proportional to 390,480.96, 538,536.24 and 309,780.56 is: 427,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,480.96 : 538,536.24 = 309,780.56 : x
  2. Step 2: Convert to fraction form
    390,480.96/538,536.24 = 309,780.56/x
  3. Step 3: Cross multiply
    390,480.96x = 538,536.24 × 309,780.56
  4. Step 4: Simplify right side
    390,480.96x = 166,828,058,007.49
  5. Step 5: Solve for x
    x = 166,828,058,007.49/390,480.96
  6. Step 6: Final answer
    x = 427,237.37

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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.