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Finding the Fourth Proportional to 420,022.94, 579,630.56 and 229,036.32

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Solution

The fourth proportional to 420,022.94, 579,630.56 and 229,036.32 is: 316,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,022.94 : 579,630.56 = 229,036.32 : x
  2. Step 2: Convert to fraction form
    420,022.94/579,630.56 = 229,036.32/x
  3. Step 3: Cross multiply
    420,022.94x = 579,630.56 × 229,036.32
  4. Step 4: Simplify right side
    420,022.94x = 132,756,449,276.76
  5. Step 5: Solve for x
    x = 132,756,449,276.76/420,022.94
  6. Step 6: Final answer
    x = 316,069.52

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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.