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Finding the Fourth Proportional to 272,953.80, 409,430.70 and 178,475.40

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Solution

The fourth proportional to 272,953.80, 409,430.70 and 178,475.40 is: 267,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,953.80 : 409,430.70 = 178,475.40 : x
  2. Step 2: Convert to fraction form
    272,953.80/409,430.70 = 178,475.40/x
  3. Step 3: Cross multiply
    272,953.80x = 409,430.70 × 178,475.40
  4. Step 4: Simplify right side
    272,953.80x = 73,073,307,954.78
  5. Step 5: Solve for x
    x = 73,073,307,954.78/272,953.80
  6. Step 6: Final answer
    x = 267,713.10

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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.