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Finding the Fourth Proportional to 429,543.81, 643,334.40 and 205,062.03

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Solution

The fourth proportional to 429,543.81, 643,334.40 and 205,062.03 is: 307,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,543.81 : 643,334.40 = 205,062.03 : x
  2. Step 2: Convert to fraction form
    429,543.81/643,334.40 = 205,062.03/x
  3. Step 3: Cross multiply
    429,543.81x = 643,334.40 × 205,062.03
  4. Step 4: Simplify right side
    429,543.81x = 131,923,458,032.83
  5. Step 5: Solve for x
    x = 131,923,458,032.83/429,543.81
  6. Step 6: Final answer
    x = 307,124.57

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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.