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Finding the Fourth Proportional to 390,361.60, 538,703.20 and 229,218.56

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Solution

The fourth proportional to 390,361.60, 538,703.20 and 229,218.56 is: 316,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,361.60 : 538,703.20 = 229,218.56 : x
  2. Step 2: Convert to fraction form
    390,361.60/538,703.20 = 229,218.56/x
  3. Step 3: Cross multiply
    390,361.60x = 538,703.20 × 229,218.56
  4. Step 4: Simplify right side
    390,361.60x = 123,480,771,771.39
  5. Step 5: Solve for x
    x = 123,480,771,771.39/390,361.60
  6. Step 6: Final answer
    x = 316,324.07

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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.