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Finding the Fourth Proportional to 308,719.70, 433,140.70 and 308,719.70

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Solution

The fourth proportional to 308,719.70, 433,140.70 and 308,719.70 is: 433,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,719.70 : 433,140.70 = 308,719.70 : x
  2. Step 2: Convert to fraction form
    308,719.70/433,140.70 = 308,719.70/x
  3. Step 3: Cross multiply
    308,719.70x = 433,140.70 × 308,719.70
  4. Step 4: Simplify right side
    308,719.70x = 133,719,066,961.79
  5. Step 5: Solve for x
    x = 133,719,066,961.79/308,719.70
  6. Step 6: Final answer
    x = 433,140.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.