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Finding the Fourth Proportional to 402,804.95, 555,859.74 and 221,516.88

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Solution

The fourth proportional to 402,804.95, 555,859.74 and 221,516.88 is: 305,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,804.95 : 555,859.74 = 221,516.88 : x
  2. Step 2: Convert to fraction form
    402,804.95/555,859.74 = 221,516.88/x
  3. Step 3: Cross multiply
    402,804.95x = 555,859.74 × 221,516.88
  4. Step 4: Simplify right side
    402,804.95x = 123,132,314,742.38
  5. Step 5: Solve for x
    x = 123,132,314,742.38/402,804.95
  6. Step 6: Final answer
    x = 305,687.19

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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.