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Finding the Fourth Proportional to 272,938.60, 409,407.90 and 178,460.20

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Solution

The fourth proportional to 272,938.60, 409,407.90 and 178,460.20 is: 267,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,938.60 : 409,407.90 = 178,460.20 : x
  2. Step 2: Convert to fraction form
    272,938.60/409,407.90 = 178,460.20/x
  3. Step 3: Cross multiply
    272,938.60x = 409,407.90 × 178,460.20
  4. Step 4: Simplify right side
    272,938.60x = 73,063,015,715.58
  5. Step 5: Solve for x
    x = 73,063,015,715.58/272,938.60
  6. Step 6: Final answer
    x = 267,690.30

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1.5x scale

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.