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Finding the Fourth Proportional to 402,920.66, 556,043.73 and 221,646.50

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Solution

The fourth proportional to 402,920.66, 556,043.73 and 221,646.50 is: 305,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920.66 : 556,043.73 = 221,646.50 : x
  2. Step 2: Convert to fraction form
    402,920.66/556,043.73 = 221,646.50/x
  3. Step 3: Cross multiply
    402,920.66x = 556,043.73 × 221,646.50
  4. Step 4: Simplify right side
    402,920.66x = 123,245,146,601.45
  5. Step 5: Solve for x
    x = 123,245,146,601.45/402,920.66
  6. Step 6: Final answer
    x = 305,879.44

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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.