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Finding the Fourth Proportional to 407,871.81, 562,636.35 and 379,006.02

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Solution

The fourth proportional to 407,871.81, 562,636.35 and 379,006.02 is: 522,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.81 : 562,636.35 = 379,006.02 : x
  2. Step 2: Convert to fraction form
    407,871.81/562,636.35 = 379,006.02/x
  3. Step 3: Cross multiply
    407,871.81x = 562,636.35 × 379,006.02
  4. Step 4: Simplify right side
    407,871.81x = 213,242,563,720.83
  5. Step 5: Solve for x
    x = 213,242,563,720.83/407,871.81
  6. Step 6: Final answer
    x = 522,817.61

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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.