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Finding the Fourth Proportional to 309,118.58, 463,709.30 and 106,688.34

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Solution

The fourth proportional to 309,118.58, 463,709.30 and 106,688.34 is: 160,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,118.58 : 463,709.30 = 106,688.34 : x
  2. Step 2: Convert to fraction form
    309,118.58/463,709.30 = 106,688.34/x
  3. Step 3: Cross multiply
    309,118.58x = 463,709.30 × 106,688.34
  4. Step 4: Simplify right side
    309,118.58x = 49,472,374,926.12
  5. Step 5: Solve for x
    x = 49,472,374,926.12/309,118.58
  6. Step 6: Final answer
    x = 160,043.36

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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.