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Finding the Fourth Proportional to 434,978.88, 601,454.88 and 378,991.68

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Solution

The fourth proportional to 434,978.88, 601,454.88 and 378,991.68 is: 524,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,978.88 : 601,454.88 = 378,991.68 : x
  2. Step 2: Convert to fraction form
    434,978.88/601,454.88 = 378,991.68/x
  3. Step 3: Cross multiply
    434,978.88x = 601,454.88 × 378,991.68
  4. Step 4: Simplify right side
    434,978.88x = 227,946,395,415.40
  5. Step 5: Solve for x
    x = 227,946,395,415.40/434,978.88
  6. Step 6: Final answer
    x = 524,040.15

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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.