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Finding the Fourth Proportional to 398,178.50, 549,486.36 and 219,330.50

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Solution

The fourth proportional to 398,178.50, 549,486.36 and 219,330.50 is: 302,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,178.50 : 549,486.36 = 219,330.50 : x
  2. Step 2: Convert to fraction form
    398,178.50/549,486.36 = 219,330.50/x
  3. Step 3: Cross multiply
    398,178.50x = 549,486.36 × 219,330.50
  4. Step 4: Simplify right side
    398,178.50x = 120,519,118,081.98
  5. Step 5: Solve for x
    x = 120,519,118,081.98/398,178.50
  6. Step 6: Final answer
    x = 302,676.11

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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.