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Finding the Fourth Proportional to 421,071.72, 581,071.96 and 230,080.72

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Solution

The fourth proportional to 421,071.72, 581,071.96 and 230,080.72 is: 317,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,071.72 : 581,071.96 = 230,080.72 : x
  2. Step 2: Convert to fraction form
    421,071.72/581,071.96 = 230,080.72/x
  3. Step 3: Cross multiply
    421,071.72x = 581,071.96 × 230,080.72
  4. Step 4: Simplify right side
    421,071.72x = 133,693,454,928.61
  5. Step 5: Solve for x
    x = 133,693,454,928.61/421,071.72
  6. Step 6: Final answer
    x = 317,507.56

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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.