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Finding the Fourth Proportional to 283,198.62, 390,751.35 and 163,897.50

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Solution

The fourth proportional to 283,198.62, 390,751.35 and 163,897.50 is: 226,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,198.62 : 390,751.35 = 163,897.50 : x
  2. Step 2: Convert to fraction form
    283,198.62/390,751.35 = 163,897.50/x
  3. Step 3: Cross multiply
    283,198.62x = 390,751.35 × 163,897.50
  4. Step 4: Simplify right side
    283,198.62x = 64,043,169,386.63
  5. Step 5: Solve for x
    x = 64,043,169,386.63/283,198.62
  6. Step 6: Final answer
    x = 226,142.24

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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.