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Finding the Fourth Proportional to 372,978.64, 514,710.56 and 203,212.80

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Solution

The fourth proportional to 372,978.64, 514,710.56 and 203,212.80 is: 280,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,978.64 : 514,710.56 = 203,212.80 : x
  2. Step 2: Convert to fraction form
    372,978.64/514,710.56 = 203,212.80/x
  3. Step 3: Cross multiply
    372,978.64x = 514,710.56 × 203,212.80
  4. Step 4: Simplify right side
    372,978.64x = 104,595,774,087.17
  5. Step 5: Solve for x
    x = 104,595,774,087.17/372,978.64
  6. Step 6: Final answer
    x = 280,433.68

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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.