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Finding the Fourth Proportional to 398,225.76, 549,551.36 and 219,377.76

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Solution

The fourth proportional to 398,225.76, 549,551.36 and 219,377.76 is: 302,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,225.76 : 549,551.36 = 219,377.76 : x
  2. Step 2: Convert to fraction form
    398,225.76/549,551.36 = 219,377.76/x
  3. Step 3: Cross multiply
    398,225.76x = 549,551.36 × 219,377.76
  4. Step 4: Simplify right side
    398,225.76x = 120,559,346,361.75
  5. Step 5: Solve for x
    x = 120,559,346,361.75/398,225.76
  6. Step 6: Final answer
    x = 302,741.20

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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.