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Finding the Fourth Proportional to 302,814.60, 454,222.58 and 284,318.04

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Solution

The fourth proportional to 302,814.60, 454,222.58 and 284,318.04 is: 426,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,814.60 : 454,222.58 = 284,318.04 : x
  2. Step 2: Convert to fraction form
    302,814.60/454,222.58 = 284,318.04/x
  3. Step 3: Cross multiply
    302,814.60x = 454,222.58 × 284,318.04
  4. Step 4: Simplify right side
    302,814.60x = 129,143,673,951.09
  5. Step 5: Solve for x
    x = 129,143,673,951.09/302,814.60
  6. Step 6: Final answer
    x = 426,477.70

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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.