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Finding the Fourth Proportional to 398,277.52, 549,622.68 and 219,429.52

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Solution

The fourth proportional to 398,277.52, 549,622.68 and 219,429.52 is: 302,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,277.52 : 549,622.68 = 219,429.52 : x
  2. Step 2: Convert to fraction form
    398,277.52/549,622.68 = 219,429.52/x
  3. Step 3: Cross multiply
    398,277.52x = 549,622.68 × 219,429.52
  4. Step 4: Simplify right side
    398,277.52x = 120,603,440,853.51
  5. Step 5: Solve for x
    x = 120,603,440,853.51/398,277.52
  6. Step 6: Final answer
    x = 302,812.57

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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.