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Finding the Fourth Proportional to 551,718.90, 827,989.02 and 409,894.38

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Solution

The fourth proportional to 551,718.90, 827,989.02 and 409,894.38 is: 615,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,718.90 : 827,989.02 = 409,894.38 : x
  2. Step 2: Convert to fraction form
    551,718.90/827,989.02 = 409,894.38/x
  3. Step 3: Cross multiply
    551,718.90x = 827,989.02 × 409,894.38
  4. Step 4: Simplify right side
    551,718.90x = 339,388,045,999.71
  5. Step 5: Solve for x
    x = 339,388,045,999.71/551,718.90
  6. Step 6: Final answer
    x = 615,146.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.