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Finding the Fourth Proportional to 402,739.85, 555,783 and 221,463.47

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Solution

The fourth proportional to 402,739.85, 555,783 and 221,463.47 is: 305,620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,739.85 : 555,783 = 221,463.47 : x
  2. Step 2: Convert to fraction form
    402,739.85/555,783 = 221,463.47/x
  3. Step 3: Cross multiply
    402,739.85x = 555,783 × 221,463.47
  4. Step 4: Simplify right side
    402,739.85x = 123,085,631,747.01
  5. Step 5: Solve for x
    x = 123,085,631,747.01/402,739.85
  6. Step 6: Final answer
    x = 305,620.69

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1.5x scale

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.