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Finding the Fourth Proportional to 402,770.13, 555,813.72 and 219,004.71

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Solution

The fourth proportional to 402,770.13, 555,813.72 and 219,004.71 is: 302,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,770.13 : 555,813.72 = 219,004.71 : x
  2. Step 2: Convert to fraction form
    402,770.13/555,813.72 = 219,004.71/x
  3. Step 3: Cross multiply
    402,770.13x = 555,813.72 × 219,004.71
  4. Step 4: Simplify right side
    402,770.13x = 121,725,822,562.62
  5. Step 5: Solve for x
    x = 121,725,822,562.62/402,770.13
  6. Step 6: Final answer
    x = 302,221.57

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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.