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Finding the Fourth Proportional to 421,871.76, 632,880.54 and 185,238.36

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Solution

The fourth proportional to 421,871.76, 632,880.54 and 185,238.36 is: 277,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,871.76 : 632,880.54 = 185,238.36 : x
  2. Step 2: Convert to fraction form
    421,871.76/632,880.54 = 185,238.36/x
  3. Step 3: Cross multiply
    421,871.76x = 632,880.54 × 185,238.36
  4. Step 4: Simplify right side
    421,871.76x = 117,233,753,305.51
  5. Step 5: Solve for x
    x = 117,233,753,305.51/421,871.76
  6. Step 6: Final answer
    x = 277,889.55

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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.