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Finding the Fourth Proportional to 420,208.32, 579,891.64 and 229,225.68

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Solution

The fourth proportional to 420,208.32, 579,891.64 and 229,225.68 is: 316,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,208.32 : 579,891.64 = 229,225.68 : x
  2. Step 2: Convert to fraction form
    420,208.32/579,891.64 = 229,225.68/x
  3. Step 3: Cross multiply
    420,208.32x = 579,891.64 × 229,225.68
  4. Step 4: Simplify right side
    420,208.32x = 132,926,055,505.32
  5. Step 5: Solve for x
    x = 132,926,055,505.32/420,208.32
  6. Step 6: Final answer
    x = 316,333.71

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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.