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Finding the Fourth Proportional to 398,350.64, 549,716.80 and 217,063.84

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Solution

The fourth proportional to 398,350.64, 549,716.80 and 217,063.84 is: 299,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,350.64 : 549,716.80 = 217,063.84 : x
  2. Step 2: Convert to fraction form
    398,350.64/549,716.80 = 217,063.84/x
  3. Step 3: Cross multiply
    398,350.64x = 549,716.80 × 217,063.84
  4. Step 4: Simplify right side
    398,350.64x = 119,323,639,520.51
  5. Step 5: Solve for x
    x = 119,323,639,520.51/398,350.64
  6. Step 6: Final answer
    x = 299,544.24

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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.