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Finding the Fourth Proportional to 398,427.47, 549,813.86 and 217,135.50

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Solution

The fourth proportional to 398,427.47, 549,813.86 and 217,135.50 is: 299,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,427.47 : 549,813.86 = 217,135.50 : x
  2. Step 2: Convert to fraction form
    398,427.47/549,813.86 = 217,135.50/x
  3. Step 3: Cross multiply
    398,427.47x = 549,813.86 × 217,135.50
  4. Step 4: Simplify right side
    398,427.47x = 119,384,107,398.03
  5. Step 5: Solve for x
    x = 119,384,107,398.03/398,427.47
  6. Step 6: Final answer
    x = 299,638.24

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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.