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Finding the Fourth Proportional to 413,954.55, 619,455.60 and 286,999.20

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Solution

The fourth proportional to 413,954.55, 619,455.60 and 286,999.20 is: 429,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,954.55 : 619,455.60 = 286,999.20 : x
  2. Step 2: Convert to fraction form
    413,954.55/619,455.60 = 286,999.20/x
  3. Step 3: Cross multiply
    413,954.55x = 619,455.60 × 286,999.20
  4. Step 4: Simplify right side
    413,954.55x = 177,783,261,635.52
  5. Step 5: Solve for x
    x = 177,783,261,635.52/413,954.55
  6. Step 6: Final answer
    x = 429,475.32

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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.