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Finding the Fourth Proportional to 398,131.40, 549,431.74 and 216,850.20

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Solution

The fourth proportional to 398,131.40, 549,431.74 and 216,850.20 is: 299,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,131.40 : 549,431.74 = 216,850.20 : x
  2. Step 2: Convert to fraction form
    398,131.40/549,431.74 = 216,850.20/x
  3. Step 3: Cross multiply
    398,131.40x = 549,431.74 × 216,850.20
  4. Step 4: Simplify right side
    398,131.40x = 119,144,382,705.35
  5. Step 5: Solve for x
    x = 119,144,382,705.35/398,131.40
  6. Step 6: Final answer
    x = 299,258.94

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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.