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Finding the Fourth Proportional to 398,172, 549,477.36 and 219,324

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Solution

The fourth proportional to 398,172, 549,477.36 and 219,324 is: 302,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,172 : 549,477.36 = 219,324 : x
  2. Step 2: Convert to fraction form
    398,172/549,477.36 = 219,324/x
  3. Step 3: Cross multiply
    398,172x = 549,477.36 × 219,324
  4. Step 4: Simplify right side
    398,172x = 120,513,572,504.64
  5. Step 5: Solve for x
    x = 120,513,572,504.64/398,172
  6. Step 6: Final answer
    x = 302,667.12

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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.