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Finding the Fourth Proportional to 415,035.36, 620,977.86 and 256,871.52

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Solution

The fourth proportional to 415,035.36, 620,977.86 and 256,871.52 is: 384,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,035.36 : 620,977.86 = 256,871.52 : x
  2. Step 2: Convert to fraction form
    415,035.36/620,977.86 = 256,871.52/x
  3. Step 3: Cross multiply
    415,035.36x = 620,977.86 × 256,871.52
  4. Step 4: Simplify right side
    415,035.36x = 159,511,526,784.55
  5. Step 5: Solve for x
    x = 159,511,526,784.55/415,035.36
  6. Step 6: Final answer
    x = 384,332.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.