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Finding the Fourth Proportional to 377,419.96, 520,852 and 216,305.89

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Solution

The fourth proportional to 377,419.96, 520,852 and 216,305.89 is: 298,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,419.96 : 520,852 = 216,305.89 : x
  2. Step 2: Convert to fraction form
    377,419.96/520,852 = 216,305.89/x
  3. Step 3: Cross multiply
    377,419.96x = 520,852 × 216,305.89
  4. Step 4: Simplify right side
    377,419.96x = 112,663,355,418.28
  5. Step 5: Solve for x
    x = 112,663,355,418.28/377,419.96
  6. Step 6: Final answer
    x = 298,509.27

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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.