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Finding the Fourth Proportional to 399,788.48, 551,708.64 and 230,019.20

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Solution

The fourth proportional to 399,788.48, 551,708.64 and 230,019.20 is: 317,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,788.48 : 551,708.64 = 230,019.20 : x
  2. Step 2: Convert to fraction form
    399,788.48/551,708.64 = 230,019.20/x
  3. Step 3: Cross multiply
    399,788.48x = 551,708.64 × 230,019.20
  4. Step 4: Simplify right side
    399,788.48x = 126,903,580,005.89
  5. Step 5: Solve for x
    x = 126,903,580,005.89/399,788.48
  6. Step 6: Final answer
    x = 317,426.81

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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.