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Finding the Fourth Proportional to 304,610.10, 456,415.76 and 215,703.96

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Solution

The fourth proportional to 304,610.10, 456,415.76 and 215,703.96 is: 323,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,610.10 : 456,415.76 = 215,703.96 : x
  2. Step 2: Convert to fraction form
    304,610.10/456,415.76 = 215,703.96/x
  3. Step 3: Cross multiply
    304,610.10x = 456,415.76 × 215,703.96
  4. Step 4: Simplify right side
    304,610.10x = 98,450,686,838.41
  5. Step 5: Solve for x
    x = 98,450,686,838.41/304,610.10
  6. Step 6: Final answer
    x = 323,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.