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Finding the Fourth Proportional to 340,165.84, 469,400.25 and 200,442.28

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Solution

The fourth proportional to 340,165.84, 469,400.25 and 200,442.28 is: 276,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,165.84 : 469,400.25 = 200,442.28 : x
  2. Step 2: Convert to fraction form
    340,165.84/469,400.25 = 200,442.28/x
  3. Step 3: Cross multiply
    340,165.84x = 469,400.25 × 200,442.28
  4. Step 4: Simplify right side
    340,165.84x = 94,087,656,342.57
  5. Step 5: Solve for x
    x = 94,087,656,342.57/340,165.84
  6. Step 6: Final answer
    x = 276,593.49

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1.5x scale

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.