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Finding the Fourth Proportional to 415,998.90, 623,998.35 and 399,669.30

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Solution

The fourth proportional to 415,998.90, 623,998.35 and 399,669.30 is: 599,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,998.90 : 623,998.35 = 399,669.30 : x
  2. Step 2: Convert to fraction form
    415,998.90/623,998.35 = 399,669.30/x
  3. Step 3: Cross multiply
    415,998.90x = 623,998.35 × 399,669.30
  4. Step 4: Simplify right side
    415,998.90x = 249,392,983,745.66
  5. Step 5: Solve for x
    x = 249,392,983,745.66/415,998.90
  6. Step 6: Final answer
    x = 599,503.95

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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.