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Finding the Fourth Proportional to 452,471.36, 677,673.12 and 215,980

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Solution

The fourth proportional to 452,471.36, 677,673.12 and 215,980 is: 323,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,471.36 : 677,673.12 = 215,980 : x
  2. Step 2: Convert to fraction form
    452,471.36/677,673.12 = 215,980/x
  3. Step 3: Cross multiply
    452,471.36x = 677,673.12 × 215,980
  4. Step 4: Simplify right side
    452,471.36x = 146,363,840,457.60
  5. Step 5: Solve for x
    x = 146,363,840,457.60/452,471.36
  6. Step 6: Final answer
    x = 323,476.47

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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.