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Finding the Fourth Proportional to 550,464, 759,641.70 and 321,178.92

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Solution

The fourth proportional to 550,464, 759,641.70 and 321,178.92 is: 443,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,464 : 759,641.70 = 321,178.92 : x
  2. Step 2: Convert to fraction form
    550,464/759,641.70 = 321,178.92/x
  3. Step 3: Cross multiply
    550,464x = 759,641.70 × 321,178.92
  4. Step 4: Simplify right side
    550,464x = 243,980,900,792.96
  5. Step 5: Solve for x
    x = 243,980,900,792.96/550,464
  6. Step 6: Final answer
    x = 443,227.71

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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.