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Finding the Fourth Proportional to 259,875.40, 390,104.70 and 200,972.20

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Solution

The fourth proportional to 259,875.40, 390,104.70 and 200,972.20 is: 301,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,875.40 : 390,104.70 = 200,972.20 : x
  2. Step 2: Convert to fraction form
    259,875.40/390,104.70 = 200,972.20/x
  3. Step 3: Cross multiply
    259,875.40x = 390,104.70 × 200,972.20
  4. Step 4: Simplify right side
    259,875.40x = 78,400,199,789.34
  5. Step 5: Solve for x
    x = 78,400,199,789.34/259,875.40
  6. Step 6: Final answer
    x = 301,683.81

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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.