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Finding the Fourth Proportional to 452,504.90, 678,905 and 215,816.83

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Solution

The fourth proportional to 452,504.90, 678,905 and 215,816.83 is: 323,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,504.90 : 678,905 = 215,816.83 : x
  2. Step 2: Convert to fraction form
    452,504.90/678,905 = 215,816.83/x
  3. Step 3: Cross multiply
    452,504.90x = 678,905 × 215,816.83
  4. Step 4: Simplify right side
    452,504.90x = 146,519,124,971.15
  5. Step 5: Solve for x
    x = 146,519,124,971.15/452,504.90
  6. Step 6: Final answer
    x = 323,795.66

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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.