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Finding the Fourth Proportional to 356,457.66, 491,831.76 and 203,446.94

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Solution

The fourth proportional to 356,457.66, 491,831.76 and 203,446.94 is: 280,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,457.66 : 491,831.76 = 203,446.94 : x
  2. Step 2: Convert to fraction form
    356,457.66/491,831.76 = 203,446.94/x
  3. Step 3: Cross multiply
    356,457.66x = 491,831.76 × 203,446.94
  4. Step 4: Simplify right side
    356,457.66x = 100,061,664,870.58
  5. Step 5: Solve for x
    x = 100,061,664,870.58/356,457.66
  6. Step 6: Final answer
    x = 280,711.22

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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.