Home / 827,962.02-1,142,619.96-465,384.78

Finding the Fourth Proportional to 827,962.02, 1,142,619.96 and 465,384.78

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Solution

The fourth proportional to 827,962.02, 1,142,619.96 and 465,384.78 is: 642,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,962.02 : 1,142,619.96 = 465,384.78 : x
  2. Step 2: Convert to fraction form
    827,962.02/1,142,619.96 = 465,384.78/x
  3. Step 3: Cross multiply
    827,962.02x = 1,142,619.96 × 465,384.78
  4. Step 4: Simplify right side
    827,962.02x = 531,757,938,708.21
  5. Step 5: Solve for x
    x = 531,757,938,708.21/827,962.02
  6. Step 6: Final answer
    x = 642,249.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.