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Finding the Fourth Proportional to 402,984.87, 556,107.96 and 219,217.33

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Solution

The fourth proportional to 402,984.87, 556,107.96 and 219,217.33 is: 302,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,984.87 : 556,107.96 = 219,217.33 : x
  2. Step 2: Convert to fraction form
    402,984.87/556,107.96 = 219,217.33/x
  3. Step 3: Cross multiply
    402,984.87x = 556,107.96 × 219,217.33
  4. Step 4: Simplify right side
    402,984.87x = 121,908,502,182.95
  5. Step 5: Solve for x
    x = 121,908,502,182.95/402,984.87
  6. Step 6: Final answer
    x = 302,513.84

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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.