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Finding the Fourth Proportional to 398,265.87, 549,605.27 and 216,977.25

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Solution

The fourth proportional to 398,265.87, 549,605.27 and 216,977.25 is: 299,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,265.87 : 549,605.27 = 216,977.25 : x
  2. Step 2: Convert to fraction form
    398,265.87/549,605.27 = 216,977.25/x
  3. Step 3: Cross multiply
    398,265.87x = 549,605.27 × 216,977.25
  4. Step 4: Simplify right side
    398,265.87x = 119,251,838,985.22
  5. Step 5: Solve for x
    x = 119,251,838,985.22/398,265.87
  6. Step 6: Final answer
    x = 299,427.71

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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.