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Finding the Fourth Proportional to 390,791.12, 538,703.86 and 305,760.56

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Solution

The fourth proportional to 390,791.12, 538,703.86 and 305,760.56 is: 421,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,791.12 : 538,703.86 = 305,760.56 : x
  2. Step 2: Convert to fraction form
    390,791.12/538,703.86 = 305,760.56/x
  3. Step 3: Cross multiply
    390,791.12x = 538,703.86 × 305,760.56
  4. Step 4: Simplify right side
    390,791.12x = 164,714,393,907.76
  5. Step 5: Solve for x
    x = 164,714,393,907.76/390,791.12
  6. Step 6: Final answer
    x = 421,489.60

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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.