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Finding the Fourth Proportional to 306,359.04, 422,490.24 and 198,814.08

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Solution

The fourth proportional to 306,359.04, 422,490.24 and 198,814.08 is: 274,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,359.04 : 422,490.24 = 198,814.08 : x
  2. Step 2: Convert to fraction form
    306,359.04/422,490.24 = 198,814.08/x
  3. Step 3: Cross multiply
    306,359.04x = 422,490.24 × 198,814.08
  4. Step 4: Simplify right side
    306,359.04x = 83,997,008,374.58
  5. Step 5: Solve for x
    x = 83,997,008,374.58/306,359.04
  6. Step 6: Final answer
    x = 274,178.32

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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.