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Finding the Fourth Proportional to 398,047.72, 549,128.26 and 268,944.52

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Solution

The fourth proportional to 398,047.72, 549,128.26 and 268,944.52 is: 371,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,047.72 : 549,128.26 = 268,944.52 : x
  2. Step 2: Convert to fraction form
    398,047.72/549,128.26 = 268,944.52/x
  3. Step 3: Cross multiply
    398,047.72x = 549,128.26 × 268,944.52
  4. Step 4: Simplify right side
    398,047.72x = 147,685,036,304.14
  5. Step 5: Solve for x
    x = 147,685,036,304.14/398,047.72
  6. Step 6: Final answer
    x = 371,023.44

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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.