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Finding the Fourth Proportional to 938,152, 1,407,228 and 412,840

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Solution

The fourth proportional to 938,152, 1,407,228 and 412,840 is: 619,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,152 : 1,407,228 = 412,840 : x
  2. Step 2: Convert to fraction form
    938,152/1,407,228 = 412,840/x
  3. Step 3: Cross multiply
    938,152x = 1,407,228 × 412,840
  4. Step 4: Simplify right side
    938,152x = 580,960,007,520
  5. Step 5: Solve for x
    x = 580,960,007,520/938,152
  6. Step 6: Final answer
    x = 619,260

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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.