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Finding the Fourth Proportional to 398,273.52, 549,617.16 and 219,425.52

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Solution

The fourth proportional to 398,273.52, 549,617.16 and 219,425.52 is: 302,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,273.52 : 549,617.16 = 219,425.52 : x
  2. Step 2: Convert to fraction form
    398,273.52/549,617.16 = 219,425.52/x
  3. Step 3: Cross multiply
    398,273.52x = 549,617.16 × 219,425.52
  4. Step 4: Simplify right side
    398,273.52x = 120,600,031,133.92
  5. Step 5: Solve for x
    x = 120,600,031,133.92/398,273.52
  6. Step 6: Final answer
    x = 302,807.05

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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.