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Finding the Fourth Proportional to 589,283.12, 813,210.84 and 321,011.12

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Solution

The fourth proportional to 589,283.12, 813,210.84 and 321,011.12 is: 442,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,283.12 : 813,210.84 = 321,011.12 : x
  2. Step 2: Convert to fraction form
    589,283.12/813,210.84 = 321,011.12/x
  3. Step 3: Cross multiply
    589,283.12x = 813,210.84 × 321,011.12
  4. Step 4: Simplify right side
    589,283.12x = 261,049,722,544.54
  5. Step 5: Solve for x
    x = 261,049,722,544.54/589,283.12
  6. Step 6: Final answer
    x = 442,995.42

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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.