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Finding the Fourth Proportional to 1,170,400, 1,615,152 and 633,856

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Solution

The fourth proportional to 1,170,400, 1,615,152 and 633,856 is: 874,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,400 : 1,615,152 = 633,856 : x
  2. Step 2: Convert to fraction form
    1,170,400/1,615,152 = 633,856/x
  3. Step 3: Cross multiply
    1,170,400x = 1,615,152 × 633,856
  4. Step 4: Simplify right side
    1,170,400x = 1,023,773,786,112
  5. Step 5: Solve for x
    x = 1,023,773,786,112/1,170,400
  6. Step 6: Final answer
    x = 874,721.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.