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Finding the Fourth Proportional to 398,070.14, 549,311.91 and 219,222.14

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Solution

The fourth proportional to 398,070.14, 549,311.91 and 219,222.14 is: 302,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,070.14 : 549,311.91 = 219,222.14 : x
  2. Step 2: Convert to fraction form
    398,070.14/549,311.91 = 219,222.14/x
  3. Step 3: Cross multiply
    398,070.14x = 549,311.91 × 219,222.14
  4. Step 4: Simplify right side
    398,070.14x = 120,421,332,437.69
  5. Step 5: Solve for x
    x = 120,421,332,437.69/398,070.14
  6. Step 6: Final answer
    x = 302,512.85

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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.