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Finding the Fourth Proportional to 287,144, 430,733.28 and 90,152

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Solution

The fourth proportional to 287,144, 430,733.28 and 90,152 is: 135,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,144 : 430,733.28 = 90,152 : x
  2. Step 2: Convert to fraction form
    287,144/430,733.28 = 90,152/x
  3. Step 3: Cross multiply
    287,144x = 430,733.28 × 90,152
  4. Step 4: Simplify right side
    287,144x = 38,831,466,658.56
  5. Step 5: Solve for x
    x = 38,831,466,658.56/287,144
  6. Step 6: Final answer
    x = 135,233.43

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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.