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Finding the Fourth Proportional to 437,896.40, 657,136.20 and 201,117.20

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Solution

The fourth proportional to 437,896.40, 657,136.20 and 201,117.20 is: 301,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,896.40 : 657,136.20 = 201,117.20 : x
  2. Step 2: Convert to fraction form
    437,896.40/657,136.20 = 201,117.20/x
  3. Step 3: Cross multiply
    437,896.40x = 657,136.20 × 201,117.20
  4. Step 4: Simplify right side
    437,896.40x = 132,161,392,562.64
  5. Step 5: Solve for x
    x = 132,161,392,562.64/437,896.40
  6. Step 6: Final answer
    x = 301,809.73

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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.