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Finding the Fourth Proportional to 438,006.40, 656,817.60 and 201,270.40

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Solution

The fourth proportional to 438,006.40, 656,817.60 and 201,270.40 is: 301,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,006.40 : 656,817.60 = 201,270.40 : x
  2. Step 2: Convert to fraction form
    438,006.40/656,817.60 = 201,270.40/x
  3. Step 3: Cross multiply
    438,006.40x = 656,817.60 × 201,270.40
  4. Step 4: Simplify right side
    438,006.40x = 132,197,941,079.04
  5. Step 5: Solve for x
    x = 132,197,941,079.04/438,006.40
  6. Step 6: Final answer
    x = 301,817.37

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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.