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Finding the Fourth Proportional to 253,396.77, 380,062.35 and 84,877.49

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Solution

The fourth proportional to 253,396.77, 380,062.35 and 84,877.49 is: 127,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,396.77 : 380,062.35 = 84,877.49 : x
  2. Step 2: Convert to fraction form
    253,396.77/380,062.35 = 84,877.49/x
  3. Step 3: Cross multiply
    253,396.77x = 380,062.35 × 84,877.49
  4. Step 4: Simplify right side
    253,396.77x = 32,258,736,411.19
  5. Step 5: Solve for x
    x = 32,258,736,411.19/253,396.77
  6. Step 6: Final answer
    x = 127,305.24

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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.