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Finding the Fourth Proportional to 645,765.24, 968,663.81 and 308,841.49

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Solution

The fourth proportional to 645,765.24, 968,663.81 and 308,841.49 is: 463,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,765.24 : 968,663.81 = 308,841.49 : x
  2. Step 2: Convert to fraction form
    645,765.24/968,663.81 = 308,841.49/x
  3. Step 3: Cross multiply
    645,765.24x = 968,663.81 × 308,841.49
  4. Step 4: Simplify right side
    645,765.24x = 299,163,576,372.41
  5. Step 5: Solve for x
    x = 299,163,576,372.41/645,765.24
  6. Step 6: Final answer
    x = 463,269.86

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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.