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Finding the Fourth Proportional to 261,036.90, 390,972.15 and 214,380.90

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Solution

The fourth proportional to 261,036.90, 390,972.15 and 214,380.90 is: 321,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036.90 : 390,972.15 = 214,380.90 : x
  2. Step 2: Convert to fraction form
    261,036.90/390,972.15 = 214,380.90/x
  3. Step 3: Cross multiply
    261,036.90x = 390,972.15 × 214,380.90
  4. Step 4: Simplify right side
    261,036.90x = 83,816,961,391.94
  5. Step 5: Solve for x
    x = 83,816,961,391.94/261,036.90
  6. Step 6: Final answer
    x = 321,092.39

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1.5x scale

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.