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Finding the Fourth Proportional to 341,970, 471,943.02 and 189,004.90

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Solution

The fourth proportional to 341,970, 471,943.02 and 189,004.90 is: 260,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,970 : 471,943.02 = 189,004.90 : x
  2. Step 2: Convert to fraction form
    341,970/471,943.02 = 189,004.90/x
  3. Step 3: Cross multiply
    341,970x = 471,943.02 × 189,004.90
  4. Step 4: Simplify right side
    341,970x = 89,199,543,300.80
  5. Step 5: Solve for x
    x = 89,199,543,300.80/341,970
  6. Step 6: Final answer
    x = 260,840.26

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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.