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Finding the Fourth Proportional to 299,435.76, 413,290.84 and 197,479.64

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Solution

The fourth proportional to 299,435.76, 413,290.84 and 197,479.64 is: 272,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,435.76 : 413,290.84 = 197,479.64 : x
  2. Step 2: Convert to fraction form
    299,435.76/413,290.84 = 197,479.64/x
  3. Step 3: Cross multiply
    299,435.76x = 413,290.84 × 197,479.64
  4. Step 4: Simplify right side
    299,435.76x = 81,616,526,298.50
  5. Step 5: Solve for x
    x = 81,616,526,298.50/299,435.76
  6. Step 6: Final answer
    x = 272,567.73

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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.