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Finding the Fourth Proportional to 398,064.39, 549,303.98 and 219,216.39

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Solution

The fourth proportional to 398,064.39, 549,303.98 and 219,216.39 is: 302,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,064.39 : 549,303.98 = 219,216.39 : x
  2. Step 2: Convert to fraction form
    398,064.39/549,303.98 = 219,216.39/x
  3. Step 3: Cross multiply
    398,064.39x = 549,303.98 × 219,216.39
  4. Step 4: Simplify right side
    398,064.39x = 120,416,434,412.15
  5. Step 5: Solve for x
    x = 120,416,434,412.15/398,064.39
  6. Step 6: Final answer
    x = 302,504.91

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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.