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Finding the Fourth Proportional to 402,740.85, 555,784.38 and 221,464.47

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Solution

The fourth proportional to 402,740.85, 555,784.38 and 221,464.47 is: 305,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,740.85 : 555,784.38 = 221,464.47 : x
  2. Step 2: Convert to fraction form
    402,740.85/555,784.38 = 221,464.47/x
  3. Step 3: Cross multiply
    402,740.85x = 555,784.38 × 221,464.47
  4. Step 4: Simplify right side
    402,740.85x = 123,086,493,150.98
  5. Step 5: Solve for x
    x = 123,086,493,150.98/402,740.85
  6. Step 6: Final answer
    x = 305,622.07

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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.