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Finding the Fourth Proportional to 398,505.72, 549,921.88 and 217,213.84

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Solution

The fourth proportional to 398,505.72, 549,921.88 and 217,213.84 is: 299,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,505.72 : 549,921.88 = 217,213.84 : x
  2. Step 2: Convert to fraction form
    398,505.72/549,921.88 = 217,213.84/x
  3. Step 3: Cross multiply
    398,505.72x = 549,921.88 × 217,213.84
  4. Step 4: Simplify right side
    398,505.72x = 119,450,643,254.82
  5. Step 5: Solve for x
    x = 119,450,643,254.82/398,505.72
  6. Step 6: Final answer
    x = 299,746.37

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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.