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Finding the Fourth Proportional to 589,148, 813,024.24 and 320,876

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Solution

The fourth proportional to 589,148, 813,024.24 and 320,876 is: 442,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,148 : 813,024.24 = 320,876 : x
  2. Step 2: Convert to fraction form
    589,148/813,024.24 = 320,876/x
  3. Step 3: Cross multiply
    589,148x = 813,024.24 × 320,876
  4. Step 4: Simplify right side
    589,148x = 260,879,966,034.24
  5. Step 5: Solve for x
    x = 260,879,966,034.24/589,148
  6. Step 6: Final answer
    x = 442,808.88

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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.