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Finding the Fourth Proportional to 281,328.52, 421,683.18 and 138,963.01

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Solution

The fourth proportional to 281,328.52, 421,683.18 and 138,963.01 is: 208,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,328.52 : 421,683.18 = 138,963.01 : x
  2. Step 2: Convert to fraction form
    281,328.52/421,683.18 = 138,963.01/x
  3. Step 3: Cross multiply
    281,328.52x = 421,683.18 × 138,963.01
  4. Step 4: Simplify right side
    281,328.52x = 58,598,363,959.17
  5. Step 5: Solve for x
    x = 58,598,363,959.17/281,328.52
  6. Step 6: Final answer
    x = 208,291.59

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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.