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Finding the Fourth Proportional to 398,435.72, 549,825.24 and 217,143.80

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Solution

The fourth proportional to 398,435.72, 549,825.24 and 217,143.80 is: 299,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,435.72 : 549,825.24 = 217,143.80 : x
  2. Step 2: Convert to fraction form
    398,435.72/549,825.24 = 217,143.80/x
  3. Step 3: Cross multiply
    398,435.72x = 549,825.24 × 217,143.80
  4. Step 4: Simplify right side
    398,435.72x = 119,391,141,949.51
  5. Step 5: Solve for x
    x = 119,391,141,949.51/398,435.72
  6. Step 6: Final answer
    x = 299,649.69

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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.