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Finding the Fourth Proportional to 399,652.82, 551,889.21 and 256,661.98

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Solution

The fourth proportional to 399,652.82, 551,889.21 and 256,661.98 is: 354,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,652.82 : 551,889.21 = 256,661.98 : x
  2. Step 2: Convert to fraction form
    399,652.82/551,889.21 = 256,661.98/x
  3. Step 3: Cross multiply
    399,652.82x = 551,889.21 × 256,661.98
  4. Step 4: Simplify right side
    399,652.82x = 141,648,975,999.51
  5. Step 5: Solve for x
    x = 141,648,975,999.51/399,652.82
  6. Step 6: Final answer
    x = 354,430.07

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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.