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Finding the Fourth Proportional to 436,228.89, 654,061.46 and 208,430.97

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Solution

The fourth proportional to 436,228.89, 654,061.46 and 208,430.97 is: 312,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,228.89 : 654,061.46 = 208,430.97 : x
  2. Step 2: Convert to fraction form
    436,228.89/654,061.46 = 208,430.97/x
  3. Step 3: Cross multiply
    436,228.89x = 654,061.46 × 208,430.97
  4. Step 4: Simplify right side
    436,228.89x = 136,326,663,505.26
  5. Step 5: Solve for x
    x = 136,326,663,505.26/436,228.89
  6. Step 6: Final answer
    x = 312,511.77

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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.