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Finding the Fourth Proportional to 272,938.60, 409,019.10 and 201,302.20

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Solution

The fourth proportional to 272,938.60, 409,019.10 and 201,302.20 is: 301,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.60 : 409,019.10 = 201,302.20 : x
  2. Step 2: Convert to fraction form
    272,938.60/409,019.10 = 201,302.20/x
  3. Step 3: Cross multiply
    272,938.60x = 409,019.10 × 201,302.20
  4. Step 4: Simplify right side
    272,938.60x = 82,336,444,672.02
  5. Step 5: Solve for x
    x = 82,336,444,672.02/272,938.60
  6. Step 6: Final answer
    x = 301,666.55

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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.