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Finding the Fourth Proportional to 421,146.51, 581,182.49 and 230,159.90

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Solution

The fourth proportional to 421,146.51, 581,182.49 and 230,159.90 is: 317,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,146.51 : 581,182.49 = 230,159.90 : x
  2. Step 2: Convert to fraction form
    421,146.51/581,182.49 = 230,159.90/x
  3. Step 3: Cross multiply
    421,146.51x = 581,182.49 × 230,159.90
  4. Step 4: Simplify right side
    421,146.51x = 133,764,901,449.64
  5. Step 5: Solve for x
    x = 133,764,901,449.64/421,146.51
  6. Step 6: Final answer
    x = 317,620.82

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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.