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Finding the Fourth Proportional to 261,026.40, 390,956.40 and 214,370.40

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Solution

The fourth proportional to 261,026.40, 390,956.40 and 214,370.40 is: 321,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,026.40 : 390,956.40 = 214,370.40 : x
  2. Step 2: Convert to fraction form
    261,026.40/390,956.40 = 214,370.40/x
  3. Step 3: Cross multiply
    261,026.40x = 390,956.40 × 214,370.40
  4. Step 4: Simplify right side
    261,026.40x = 83,809,479,850.56
  5. Step 5: Solve for x
    x = 83,809,479,850.56/261,026.40
  6. Step 6: Final answer
    x = 321,076.64

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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.