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Finding the Fourth Proportional to 1,223,569.80, 1,836,010.80 and 513,669.60

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Solution

The fourth proportional to 1,223,569.80, 1,836,010.80 and 513,669.60 is: 770,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,569.80 : 1,836,010.80 = 513,669.60 : x
  2. Step 2: Convert to fraction form
    1,223,569.80/1,836,010.80 = 513,669.60/x
  3. Step 3: Cross multiply
    1,223,569.80x = 1,836,010.80 × 513,669.60
  4. Step 4: Simplify right side
    1,223,569.80x = 943,102,933,231.68
  5. Step 5: Solve for x
    x = 943,102,933,231.68/1,223,569.80
  6. Step 6: Final answer
    x = 770,779.84

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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.