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Finding the Fourth Proportional to 398,518.57, 549,935.58 and 226,414

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Solution

The fourth proportional to 398,518.57, 549,935.58 and 226,414 is: 312,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,518.57 : 549,935.58 = 226,414 : x
  2. Step 2: Convert to fraction form
    398,518.57/549,935.58 = 226,414/x
  3. Step 3: Cross multiply
    398,518.57x = 549,935.58 × 226,414
  4. Step 4: Simplify right side
    398,518.57x = 124,513,114,410.12
  5. Step 5: Solve for x
    x = 124,513,114,410.12/398,518.57
  6. Step 6: Final answer
    x = 312,439.93

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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.