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Finding the Fourth Proportional to 261,231.40, 391,263.90 and 214,575.40

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Solution

The fourth proportional to 261,231.40, 391,263.90 and 214,575.40 is: 321,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,231.40 : 391,263.90 = 214,575.40 : x
  2. Step 2: Convert to fraction form
    261,231.40/391,263.90 = 214,575.40/x
  3. Step 3: Cross multiply
    261,231.40x = 391,263.90 × 214,575.40
  4. Step 4: Simplify right side
    261,231.40x = 83,955,607,848.06
  5. Step 5: Solve for x
    x = 83,955,607,848.06/261,231.40
  6. Step 6: Final answer
    x = 321,384.06

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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.