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Finding the Fourth Proportional to 309,483.42, 464,358.76 and 167,428.76

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Solution

The fourth proportional to 309,483.42, 464,358.76 and 167,428.76 is: 251,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,483.42 : 464,358.76 = 167,428.76 : x
  2. Step 2: Convert to fraction form
    309,483.42/464,358.76 = 167,428.76/x
  3. Step 3: Cross multiply
    309,483.42x = 464,358.76 × 167,428.76
  4. Step 4: Simplify right side
    309,483.42x = 77,747,008,641.57
  5. Step 5: Solve for x
    x = 77,747,008,641.57/309,483.42
  6. Step 6: Final answer
    x = 251,215.43

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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.