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Finding the Fourth Proportional to 395,136.50, 545,297.01 and 216,288.50

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Solution

The fourth proportional to 395,136.50, 545,297.01 and 216,288.50 is: 298,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,136.50 : 545,297.01 = 216,288.50 : x
  2. Step 2: Convert to fraction form
    395,136.50/545,297.01 = 216,288.50/x
  3. Step 3: Cross multiply
    395,136.50x = 545,297.01 × 216,288.50
  4. Step 4: Simplify right side
    395,136.50x = 117,941,472,347.39
  5. Step 5: Solve for x
    x = 117,941,472,347.39/395,136.50
  6. Step 6: Final answer
    x = 298,482.86

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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.