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Finding the Fourth Proportional to 397,778.16, 549,002.04 and 254,531.28

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Solution

The fourth proportional to 397,778.16, 549,002.04 and 254,531.28 is: 351,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,778.16 : 549,002.04 = 254,531.28 : x
  2. Step 2: Convert to fraction form
    397,778.16/549,002.04 = 254,531.28/x
  3. Step 3: Cross multiply
    397,778.16x = 549,002.04 × 254,531.28
  4. Step 4: Simplify right side
    397,778.16x = 139,738,191,963.81
  5. Step 5: Solve for x
    x = 139,738,191,963.81/397,778.16
  6. Step 6: Final answer
    x = 351,296.79

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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.