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Finding the Fourth Proportional to 589,281.62, 813,208.77 and 321,009.62

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Solution

The fourth proportional to 589,281.62, 813,208.77 and 321,009.62 is: 442,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,281.62 : 813,208.77 = 321,009.62 : x
  2. Step 2: Convert to fraction form
    589,281.62/813,208.77 = 321,009.62/x
  3. Step 3: Cross multiply
    589,281.62x = 813,208.77 × 321,009.62
  4. Step 4: Simplify right side
    589,281.62x = 261,047,838,238.37
  5. Step 5: Solve for x
    x = 261,047,838,238.37/589,281.62
  6. Step 6: Final answer
    x = 442,993.35

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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.