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Finding the Fourth Proportional to 285,751.40, 428,082.72 and 177,509.48

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Solution

The fourth proportional to 285,751.40, 428,082.72 and 177,509.48 is: 265,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.40 : 428,082.72 = 177,509.48 : x
  2. Step 2: Convert to fraction form
    285,751.40/428,082.72 = 177,509.48/x
  3. Step 3: Cross multiply
    285,751.40x = 428,082.72 × 177,509.48
  4. Step 4: Simplify right side
    285,751.40x = 75,988,741,024.19
  5. Step 5: Solve for x
    x = 75,988,741,024.19/285,751.40
  6. Step 6: Final answer
    x = 265,926.05

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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.