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Finding the Fourth Proportional to 614,435.80, 923,036.10 and 427,811.80

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Solution

The fourth proportional to 614,435.80, 923,036.10 and 427,811.80 is: 642,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,435.80 : 923,036.10 = 427,811.80 : x
  2. Step 2: Convert to fraction form
    614,435.80/923,036.10 = 427,811.80/x
  3. Step 3: Cross multiply
    614,435.80x = 923,036.10 × 427,811.80
  4. Step 4: Simplify right side
    614,435.80x = 394,885,735,405.98
  5. Step 5: Solve for x
    x = 394,885,735,405.98/614,435.80
  6. Step 6: Final answer
    x = 642,680.22

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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.