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Finding the Fourth Proportional to 306,057.45, 428,830.35 and 306,057.45

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Solution

The fourth proportional to 306,057.45, 428,830.35 and 306,057.45 is: 428,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.45 : 428,830.35 = 306,057.45 : x
  2. Step 2: Convert to fraction form
    306,057.45/428,830.35 = 306,057.45/x
  3. Step 3: Cross multiply
    306,057.45x = 428,830.35 × 306,057.45
  4. Step 4: Simplify right side
    306,057.45x = 131,246,723,403.61
  5. Step 5: Solve for x
    x = 131,246,723,403.61/306,057.45
  6. Step 6: Final answer
    x = 428,830.35

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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.