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Finding the Fourth Proportional to 589,072.50, 812,920.05 and 320,800.50

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Solution

The fourth proportional to 589,072.50, 812,920.05 and 320,800.50 is: 442,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,072.50 : 812,920.05 = 320,800.50 : x
  2. Step 2: Convert to fraction form
    589,072.50/812,920.05 = 320,800.50/x
  3. Step 3: Cross multiply
    589,072.50x = 812,920.05 × 320,800.50
  4. Step 4: Simplify right side
    589,072.50x = 260,785,158,500.03
  5. Step 5: Solve for x
    x = 260,785,158,500.03/589,072.50
  6. Step 6: Final answer
    x = 442,704.69

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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.