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Finding the Fourth Proportional to 386,564.41, 579,707.64 and 133,776.25

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Solution

The fourth proportional to 386,564.41, 579,707.64 and 133,776.25 is: 200,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,564.41 : 579,707.64 = 133,776.25 : x
  2. Step 2: Convert to fraction form
    386,564.41/579,707.64 = 133,776.25/x
  3. Step 3: Cross multiply
    386,564.41x = 579,707.64 × 133,776.25
  4. Step 4: Simplify right side
    386,564.41x = 77,551,114,175.55
  5. Step 5: Solve for x
    x = 77,551,114,175.55/386,564.41
  6. Step 6: Final answer
    x = 200,616.28

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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.