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Finding the Fourth Proportional to 680,205.60, 1,019,638.80 and 380,829.60

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Solution

The fourth proportional to 680,205.60, 1,019,638.80 and 380,829.60 is: 570,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,205.60 : 1,019,638.80 = 380,829.60 : x
  2. Step 2: Convert to fraction form
    680,205.60/1,019,638.80 = 380,829.60/x
  3. Step 3: Cross multiply
    680,205.60x = 1,019,638.80 × 380,829.60
  4. Step 4: Simplify right side
    680,205.60x = 388,308,636,348.48
  5. Step 5: Solve for x
    x = 388,308,636,348.48/680,205.60
  6. Step 6: Final answer
    x = 570,869.51

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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.