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Finding the Fourth Proportional to 399,812.96, 551,688.63 and 256,766.78

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Solution

The fourth proportional to 399,812.96, 551,688.63 and 256,766.78 is: 354,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,812.96 : 551,688.63 = 256,766.78 : x
  2. Step 2: Convert to fraction form
    399,812.96/551,688.63 = 256,766.78/x
  3. Step 3: Cross multiply
    399,812.96x = 551,688.63 × 256,766.78
  4. Step 4: Simplify right side
    399,812.96x = 141,655,313,087.71
  5. Step 5: Solve for x
    x = 141,655,313,087.71/399,812.96
  6. Step 6: Final answer
    x = 354,303.96

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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.