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Finding the Fourth Proportional to 286,705.53, 430,064.22 and 104,330.09

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Solution

The fourth proportional to 286,705.53, 430,064.22 and 104,330.09 is: 156,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,705.53 : 430,064.22 = 104,330.09 : x
  2. Step 2: Convert to fraction form
    286,705.53/430,064.22 = 104,330.09/x
  3. Step 3: Cross multiply
    286,705.53x = 430,064.22 × 104,330.09
  4. Step 4: Simplify right side
    286,705.53x = 44,868,638,778.38
  5. Step 5: Solve for x
    x = 44,868,638,778.38/286,705.53
  6. Step 6: Final answer
    x = 156,497.29

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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.