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Finding the Fourth Proportional to 589,281.12, 813,208.08 and 321,009.12

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Solution

The fourth proportional to 589,281.12, 813,208.08 and 321,009.12 is: 442,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,281.12 : 813,208.08 = 321,009.12 : x
  2. Step 2: Convert to fraction form
    589,281.12/813,208.08 = 321,009.12/x
  3. Step 3: Cross multiply
    589,281.12x = 813,208.08 × 321,009.12
  4. Step 4: Simplify right side
    589,281.12x = 261,047,210,137.69
  5. Step 5: Solve for x
    x = 261,047,210,137.69/589,281.12
  6. Step 6: Final answer
    x = 442,992.66

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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.