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Finding the Fourth Proportional to 645,770.73, 968,028.08 and 308,724.06

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Solution

The fourth proportional to 645,770.73, 968,028.08 and 308,724.06 is: 462,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,770.73 : 968,028.08 = 308,724.06 : x
  2. Step 2: Convert to fraction form
    645,770.73/968,028.08 = 308,724.06/x
  3. Step 3: Cross multiply
    645,770.73x = 968,028.08 × 308,724.06
  4. Step 4: Simplify right side
    645,770.73x = 298,853,559,051.61
  5. Step 5: Solve for x
    x = 298,853,559,051.61/645,770.73
  6. Step 6: Final answer
    x = 462,785.85

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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.