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Finding the Fourth Proportional to 308,965.59, 463,514.56 and 95,728.78

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Solution

The fourth proportional to 308,965.59, 463,514.56 and 95,728.78 is: 143,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.59 : 463,514.56 = 95,728.78 : x
  2. Step 2: Convert to fraction form
    308,965.59/463,514.56 = 95,728.78/x
  3. Step 3: Cross multiply
    308,965.59x = 463,514.56 × 95,728.78
  4. Step 4: Simplify right side
    308,965.59x = 44,371,683,681.11
  5. Step 5: Solve for x
    x = 44,371,683,681.11/308,965.59
  6. Step 6: Final answer
    x = 143,613.67

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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.