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Finding the Fourth Proportional to 398,266.24, 549,605.78 and 216,977.62

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Solution

The fourth proportional to 398,266.24, 549,605.78 and 216,977.62 is: 299,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,266.24 : 549,605.78 = 216,977.62 : x
  2. Step 2: Convert to fraction form
    398,266.24/549,605.78 = 216,977.62/x
  3. Step 3: Cross multiply
    398,266.24x = 549,605.78 × 216,977.62
  4. Step 4: Simplify right side
    398,266.24x = 119,252,154,082.64
  5. Step 5: Solve for x
    x = 119,252,154,082.64/398,266.24
  6. Step 6: Final answer
    x = 299,428.23

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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.