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Finding the Fourth Proportional to 589,149, 813,025.62 and 320,877

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Solution

The fourth proportional to 589,149, 813,025.62 and 320,877 is: 442,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,149 : 813,025.62 = 320,877 : x
  2. Step 2: Convert to fraction form
    589,149/813,025.62 = 320,877/x
  3. Step 3: Cross multiply
    589,149x = 813,025.62 × 320,877
  4. Step 4: Simplify right side
    589,149x = 260,881,221,868.74
  5. Step 5: Solve for x
    x = 260,881,221,868.74/589,149
  6. Step 6: Final answer
    x = 442,810.26

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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.