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Finding the Fourth Proportional to 354,434.42, 489,212.52 and 201,561.96

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Solution

The fourth proportional to 354,434.42, 489,212.52 and 201,561.96 is: 278,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,434.42 : 489,212.52 = 201,561.96 : x
  2. Step 2: Convert to fraction form
    354,434.42/489,212.52 = 201,561.96/x
  3. Step 3: Cross multiply
    354,434.42x = 489,212.52 × 201,561.96
  4. Step 4: Simplify right side
    354,434.42x = 98,606,634,387.74
  5. Step 5: Solve for x
    x = 98,606,634,387.74/354,434.42
  6. Step 6: Final answer
    x = 278,208.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.