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Finding the Fourth Proportional to 578,573.20, 867,990.66 and 312,328

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Solution

The fourth proportional to 578,573.20, 867,990.66 and 312,328 is: 468,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,573.20 : 867,990.66 = 312,328 : x
  2. Step 2: Convert to fraction form
    578,573.20/867,990.66 = 312,328/x
  3. Step 3: Cross multiply
    578,573.20x = 867,990.66 × 312,328
  4. Step 4: Simplify right side
    578,573.20x = 271,097,786,856.48
  5. Step 5: Solve for x
    x = 271,097,786,856.48/578,573.20
  6. Step 6: Final answer
    x = 468,562.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.