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Finding the Fourth Proportional to 938,160, 1,407,240 and 412,848

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Solution

The fourth proportional to 938,160, 1,407,240 and 412,848 is: 619,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,160 : 1,407,240 = 412,848 : x
  2. Step 2: Convert to fraction form
    938,160/1,407,240 = 412,848/x
  3. Step 3: Cross multiply
    938,160x = 1,407,240 × 412,848
  4. Step 4: Simplify right side
    938,160x = 580,976,219,520
  5. Step 5: Solve for x
    x = 580,976,219,520/938,160
  6. Step 6: Final answer
    x = 619,272

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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.