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Finding the Fourth Proportional to 403,489, 556,814.82 and 224,683.24

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Solution

The fourth proportional to 403,489, 556,814.82 and 224,683.24 is: 310,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,489 : 556,814.82 = 224,683.24 : x
  2. Step 2: Convert to fraction form
    403,489/556,814.82 = 224,683.24/x
  3. Step 3: Cross multiply
    403,489x = 556,814.82 × 224,683.24
  4. Step 4: Simplify right side
    403,489x = 125,106,957,837.62
  5. Step 5: Solve for x
    x = 125,106,957,837.62/403,489
  6. Step 6: Final answer
    x = 310,062.87

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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.