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Finding the Fourth Proportional to 427,688.37, 640,254.38 and 258,697.29

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Solution

The fourth proportional to 427,688.37, 640,254.38 and 258,697.29 is: 387,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,688.37 : 640,254.38 = 258,697.29 : x
  2. Step 2: Convert to fraction form
    427,688.37/640,254.38 = 258,697.29/x
  3. Step 3: Cross multiply
    427,688.37x = 640,254.38 × 258,697.29
  4. Step 4: Simplify right side
    427,688.37x = 165,632,071,723.14
  5. Step 5: Solve for x
    x = 165,632,071,723.14/427,688.37
  6. Step 6: Final answer
    x = 387,272.80

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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.