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Finding the Fourth Proportional to 309,099.45, 463,587.66 and 84,406.47

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Solution

The fourth proportional to 309,099.45, 463,587.66 and 84,406.47 is: 126,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,099.45 : 463,587.66 = 84,406.47 : x
  2. Step 2: Convert to fraction form
    309,099.45/463,587.66 = 84,406.47/x
  3. Step 3: Cross multiply
    309,099.45x = 463,587.66 × 84,406.47
  4. Step 4: Simplify right side
    309,099.45x = 39,129,797,916.16
  5. Step 5: Solve for x
    x = 39,129,797,916.16/309,099.45
  6. Step 6: Final answer
    x = 126,592.91

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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.