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Finding the Fourth Proportional to 438,718.20, 657,639.90 and 201,647.40

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Solution

The fourth proportional to 438,718.20, 657,639.90 and 201,647.40 is: 302,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,718.20 : 657,639.90 = 201,647.40 : x
  2. Step 2: Convert to fraction form
    438,718.20/657,639.90 = 201,647.40/x
  3. Step 3: Cross multiply
    438,718.20x = 657,639.90 × 201,647.40
  4. Step 4: Simplify right side
    438,718.20x = 132,611,375,971.26
  5. Step 5: Solve for x
    x = 132,611,375,971.26/438,718.20
  6. Step 6: Final answer
    x = 302,270.06

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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.