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Finding the Fourth Proportional to 428,404.90, 642,741.66 and 257,812.78

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Solution

The fourth proportional to 428,404.90, 642,741.66 and 257,812.78 is: 386,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,404.90 : 642,741.66 = 257,812.78 : x
  2. Step 2: Convert to fraction form
    428,404.90/642,741.66 = 257,812.78/x
  3. Step 3: Cross multiply
    428,404.90x = 642,741.66 × 257,812.78
  4. Step 4: Simplify right side
    428,404.90x = 165,707,014,186.42
  5. Step 5: Solve for x
    x = 165,707,014,186.42/428,404.90
  6. Step 6: Final answer
    x = 386,800.00

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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.