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Finding the Fourth Proportional to 809,435, 1,212,780.62 and 488,913.48

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Solution

The fourth proportional to 809,435, 1,212,780.62 and 488,913.48 is: 732,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,435 : 1,212,780.62 = 488,913.48 : x
  2. Step 2: Convert to fraction form
    809,435/1,212,780.62 = 488,913.48/x
  3. Step 3: Cross multiply
    809,435x = 1,212,780.62 × 488,913.48
  4. Step 4: Simplify right side
    809,435x = 592,944,793,400.76
  5. Step 5: Solve for x
    x = 592,944,793,400.76/809,435
  6. Step 6: Final answer
    x = 732,541.58

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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.