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Finding the Fourth Proportional to 309,462.72, 463,892.76 and 159,871.92

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Solution

The fourth proportional to 309,462.72, 463,892.76 and 159,871.92 is: 239,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,462.72 : 463,892.76 = 159,871.92 : x
  2. Step 2: Convert to fraction form
    309,462.72/463,892.76 = 159,871.92/x
  3. Step 3: Cross multiply
    309,462.72x = 463,892.76 × 159,871.92
  4. Step 4: Simplify right side
    309,462.72x = 74,163,426,215.30
  5. Step 5: Solve for x
    x = 74,163,426,215.30/309,462.72
  6. Step 6: Final answer
    x = 239,652.21

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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.