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Finding the Fourth Proportional to 402,307.94, 555,182.66 and 221,015.97

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Solution

The fourth proportional to 402,307.94, 555,182.66 and 221,015.97 is: 305,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,307.94 : 555,182.66 = 221,015.97 : x
  2. Step 2: Convert to fraction form
    402,307.94/555,182.66 = 221,015.97/x
  3. Step 3: Cross multiply
    402,307.94x = 555,182.66 × 221,015.97
  4. Step 4: Simplify right side
    402,307.94x = 122,704,234,127.08
  5. Step 5: Solve for x
    x = 122,704,234,127.08/402,307.94
  6. Step 6: Final answer
    x = 305,000.78

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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.