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Finding the Fourth Proportional to 282,069.83, 389,290.80 and 161,216.21

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Solution

The fourth proportional to 282,069.83, 389,290.80 and 161,216.21 is: 222,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,069.83 : 389,290.80 = 161,216.21 : x
  2. Step 2: Convert to fraction form
    282,069.83/389,290.80 = 161,216.21/x
  3. Step 3: Cross multiply
    282,069.83x = 389,290.80 × 161,216.21
  4. Step 4: Simplify right side
    282,069.83x = 62,759,985,417.41
  5. Step 5: Solve for x
    x = 62,759,985,417.41/282,069.83
  6. Step 6: Final answer
    x = 222,498.05

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1.5x scale

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.