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Finding the Fourth Proportional to 428,355.96, 642,615.06 and 172,208.34

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Solution

The fourth proportional to 428,355.96, 642,615.06 and 172,208.34 is: 258,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,355.96 : 642,615.06 = 172,208.34 : x
  2. Step 2: Convert to fraction form
    428,355.96/642,615.06 = 172,208.34/x
  3. Step 3: Cross multiply
    428,355.96x = 642,615.06 × 172,208.34
  4. Step 4: Simplify right side
    428,355.96x = 110,663,672,741.60
  5. Step 5: Solve for x
    x = 110,663,672,741.60/428,355.96
  6. Step 6: Final answer
    x = 258,345.12

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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.