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Finding the Fourth Proportional to 307,655.96, 461,689.86 and 107,977.28

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Solution

The fourth proportional to 307,655.96, 461,689.86 and 107,977.28 is: 162,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,655.96 : 461,689.86 = 107,977.28 : x
  2. Step 2: Convert to fraction form
    307,655.96/461,689.86 = 107,977.28/x
  3. Step 3: Cross multiply
    307,655.96x = 461,689.86 × 107,977.28
  4. Step 4: Simplify right side
    307,655.96x = 49,852,015,286.38
  5. Step 5: Solve for x
    x = 49,852,015,286.38/307,655.96
  6. Step 6: Final answer
    x = 162,038.19

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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.