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Finding the Fourth Proportional to 395,136.25, 545,296.67 and 216,288.25

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Solution

The fourth proportional to 395,136.25, 545,296.67 and 216,288.25 is: 298,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,136.25 : 545,296.67 = 216,288.25 : x
  2. Step 2: Convert to fraction form
    395,136.25/545,296.67 = 216,288.25/x
  3. Step 3: Cross multiply
    395,136.25x = 545,296.67 × 216,288.25
  4. Step 4: Simplify right side
    395,136.25x = 117,941,261,403.69
  5. Step 5: Solve for x
    x = 117,941,261,403.69/395,136.25
  6. Step 6: Final answer
    x = 298,482.51

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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.