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Finding the Fourth Proportional to 452,502.90, 678,902.00 and 215,814.83

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Solution

The fourth proportional to 452,502.90, 678,902.00 and 215,814.83 is: 323,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,502.90 : 678,902.00 = 215,814.83 : x
  2. Step 2: Convert to fraction form
    452,502.90/678,902.00 = 215,814.83/x
  3. Step 3: Cross multiply
    452,502.90x = 678,902.00 × 215,814.83
  4. Step 4: Simplify right side
    452,502.90x = 146,517,115,243.08
  5. Step 5: Solve for x
    x = 146,517,115,243.08/452,502.90
  6. Step 6: Final answer
    x = 323,792.65

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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.