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Finding the Fourth Proportional to 1,292,829.69, 1,939,244.54 and 661,399.05

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Solution

The fourth proportional to 1,292,829.69, 1,939,244.54 and 661,399.05 is: 992,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,829.69 : 1,939,244.54 = 661,399.05 : x
  2. Step 2: Convert to fraction form
    1,292,829.69/1,939,244.54 = 661,399.05/x
  3. Step 3: Cross multiply
    1,292,829.69x = 1,939,244.54 × 661,399.05
  4. Step 4: Simplify right side
    1,292,829.69x = 1,282,614,493,166.69
  5. Step 5: Solve for x
    x = 1,282,614,493,166.69/1,292,829.69
  6. Step 6: Final answer
    x = 992,098.58

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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.