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Finding the Fourth Proportional to 398,322.31, 549,677.86 and 217,035.74

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Solution

The fourth proportional to 398,322.31, 549,677.86 and 217,035.74 is: 299,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,322.31 : 549,677.86 = 217,035.74 : x
  2. Step 2: Convert to fraction form
    398,322.31/549,677.86 = 217,035.74/x
  3. Step 3: Cross multiply
    398,322.31x = 549,677.86 × 217,035.74
  4. Step 4: Simplify right side
    398,322.31x = 119,299,741,106.72
  5. Step 5: Solve for x
    x = 119,299,741,106.72/398,322.31
  6. Step 6: Final answer
    x = 299,505.55

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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.