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Finding the Fourth Proportional to 266,004.80, 399,136.80 and 202,803.20

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Solution

The fourth proportional to 266,004.80, 399,136.80 and 202,803.20 is: 304,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,004.80 : 399,136.80 = 202,803.20 : x
  2. Step 2: Convert to fraction form
    266,004.80/399,136.80 = 202,803.20/x
  3. Step 3: Cross multiply
    266,004.80x = 399,136.80 × 202,803.20
  4. Step 4: Simplify right side
    266,004.80x = 80,946,220,277.76
  5. Step 5: Solve for x
    x = 80,946,220,277.76/266,004.80
  6. Step 6: Final answer
    x = 304,303.61

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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.