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Finding the Fourth Proportional to 461,092, 636,831.84 and 309,926.56

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Solution

The fourth proportional to 461,092, 636,831.84 and 309,926.56 is: 428,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,092 : 636,831.84 = 309,926.56 : x
  2. Step 2: Convert to fraction form
    461,092/636,831.84 = 309,926.56/x
  3. Step 3: Cross multiply
    461,092x = 636,831.84 × 309,926.56
  4. Step 4: Simplify right side
    461,092x = 197,371,101,469.67
  5. Step 5: Solve for x
    x = 197,371,101,469.67/461,092
  6. Step 6: Final answer
    x = 428,051.45

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1.5x scale

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.