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Finding the Fourth Proportional to 398,072.64, 549,315.36 and 219,224.64

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Solution

The fourth proportional to 398,072.64, 549,315.36 and 219,224.64 is: 302,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,072.64 : 549,315.36 = 219,224.64 : x
  2. Step 2: Convert to fraction form
    398,072.64/549,315.36 = 219,224.64/x
  3. Step 3: Cross multiply
    398,072.64x = 549,315.36 × 219,224.64
  4. Step 4: Simplify right side
    398,072.64x = 120,423,462,042.47
  5. Step 5: Solve for x
    x = 120,423,462,042.47/398,072.64
  6. Step 6: Final answer
    x = 302,516.30

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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.