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Finding the Fourth Proportional to 403,355, 556,629.90 and 224,503.16

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Solution

The fourth proportional to 403,355, 556,629.90 and 224,503.16 is: 309,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,355 : 556,629.90 = 224,503.16 : x
  2. Step 2: Convert to fraction form
    403,355/556,629.90 = 224,503.16/x
  3. Step 3: Cross multiply
    403,355x = 556,629.90 × 224,503.16
  4. Step 4: Simplify right side
    403,355x = 124,965,171,500.48
  5. Step 5: Solve for x
    x = 124,965,171,500.48/403,355
  6. Step 6: Final answer
    x = 309,814.36

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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.