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Finding the Fourth Proportional to 429,883.90, 643,842.60 and 205,402.03

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Solution

The fourth proportional to 429,883.90, 643,842.60 and 205,402.03 is: 307,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,883.90 : 643,842.60 = 205,402.03 : x
  2. Step 2: Convert to fraction form
    429,883.90/643,842.60 = 205,402.03/x
  3. Step 3: Cross multiply
    429,883.90x = 643,842.60 × 205,402.03
  4. Step 4: Simplify right side
    429,883.90x = 132,246,577,040.48
  5. Step 5: Solve for x
    x = 132,246,577,040.48/429,883.90
  6. Step 6: Final answer
    x = 307,633.24

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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.