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Finding the Fourth Proportional to 421,007.40, 580,962.33 and 239,737.86

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Solution

The fourth proportional to 421,007.40, 580,962.33 and 239,737.86 is: 330,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,007.40 : 580,962.33 = 239,737.86 : x
  2. Step 2: Convert to fraction form
    421,007.40/580,962.33 = 239,737.86/x
  3. Step 3: Cross multiply
    421,007.40x = 580,962.33 × 239,737.86
  4. Step 4: Simplify right side
    421,007.40x = 139,278,665,734.81
  5. Step 5: Solve for x
    x = 139,278,665,734.81/421,007.40
  6. Step 6: Final answer
    x = 330,822.37

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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.