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Finding the Fourth Proportional to 508,155.60, 701,297.80 and 281,874

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Solution

The fourth proportional to 508,155.60, 701,297.80 and 281,874 is: 389,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,155.60 : 701,297.80 = 281,874 : x
  2. Step 2: Convert to fraction form
    508,155.60/701,297.80 = 281,874/x
  3. Step 3: Cross multiply
    508,155.60x = 701,297.80 × 281,874
  4. Step 4: Simplify right side
    508,155.60x = 197,677,616,077.20
  5. Step 5: Solve for x
    x = 197,677,616,077.20/508,155.60
  6. Step 6: Final answer
    x = 389,010.01

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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.