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Finding the Fourth Proportional to 403,812, 557,272.08 and 224,975.52

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Solution

The fourth proportional to 403,812, 557,272.08 and 224,975.52 is: 310,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812 : 557,272.08 = 224,975.52 : x
  2. Step 2: Convert to fraction form
    403,812/557,272.08 = 224,975.52/x
  3. Step 3: Cross multiply
    403,812x = 557,272.08 × 224,975.52
  4. Step 4: Simplify right side
    403,812x = 125,372,575,979.48
  5. Step 5: Solve for x
    x = 125,372,575,979.48/403,812
  6. Step 6: Final answer
    x = 310,472.64

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1.5x scale

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.