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Finding the Fourth Proportional to 372,765, 514,464.30 and 221,862

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Solution

The fourth proportional to 372,765, 514,464.30 and 221,862 is: 306,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,765 : 514,464.30 = 221,862 : x
  2. Step 2: Convert to fraction form
    372,765/514,464.30 = 221,862/x
  3. Step 3: Cross multiply
    372,765x = 514,464.30 × 221,862
  4. Step 4: Simplify right side
    372,765x = 114,140,078,526.60
  5. Step 5: Solve for x
    x = 114,140,078,526.60/372,765
  6. Step 6: Final answer
    x = 306,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.