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Finding the Fourth Proportional to 421,732.82, 582,005.79 and 230,746.16

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Solution

The fourth proportional to 421,732.82, 582,005.79 and 230,746.16 is: 318,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,732.82 : 582,005.79 = 230,746.16 : x
  2. Step 2: Convert to fraction form
    421,732.82/582,005.79 = 230,746.16/x
  3. Step 3: Cross multiply
    421,732.82x = 582,005.79 × 230,746.16
  4. Step 4: Simplify right side
    421,732.82x = 134,295,602,595.28
  5. Step 5: Solve for x
    x = 134,295,602,595.28/421,732.82
  6. Step 6: Final answer
    x = 318,437.63

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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.