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Finding the Fourth Proportional to 399,655.76, 551,770.92 and 256,667.81

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Solution

The fourth proportional to 399,655.76, 551,770.92 and 256,667.81 is: 354,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,655.76 : 551,770.92 = 256,667.81 : x
  2. Step 2: Convert to fraction form
    399,655.76/551,770.92 = 256,667.81/x
  3. Step 3: Cross multiply
    399,655.76x = 551,770.92 × 256,667.81
  4. Step 4: Simplify right side
    399,655.76x = 141,621,830,899.23
  5. Step 5: Solve for x
    x = 141,621,830,899.23/399,655.76
  6. Step 6: Final answer
    x = 354,359.54

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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.