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Finding the Fourth Proportional to 589,113, 812,975.94 and 320,841

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Solution

The fourth proportional to 589,113, 812,975.94 and 320,841 is: 442,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,113 : 812,975.94 = 320,841 : x
  2. Step 2: Convert to fraction form
    589,113/812,975.94 = 320,841/x
  3. Step 3: Cross multiply
    589,113x = 812,975.94 × 320,841
  4. Step 4: Simplify right side
    589,113x = 260,836,013,565.54
  5. Step 5: Solve for x
    x = 260,836,013,565.54/589,113
  6. Step 6: Final answer
    x = 442,760.58

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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.