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Finding the Fourth Proportional to 400,703.90, 552,984.58 and 219,423.48

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Solution

The fourth proportional to 400,703.90, 552,984.58 and 219,423.48 is: 302,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,703.90 : 552,984.58 = 219,423.48 : x
  2. Step 2: Convert to fraction form
    400,703.90/552,984.58 = 219,423.48/x
  3. Step 3: Cross multiply
    400,703.90x = 552,984.58 × 219,423.48
  4. Step 4: Simplify right side
    400,703.90x = 121,337,800,929.94
  5. Step 5: Solve for x
    x = 121,337,800,929.94/400,703.90
  6. Step 6: Final answer
    x = 302,811.63

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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.