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Finding the Fourth Proportional to 398,270.02, 549,612.39 and 219,422.02

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Solution

The fourth proportional to 398,270.02, 549,612.39 and 219,422.02 is: 302,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,270.02 : 549,612.39 = 219,422.02 : x
  2. Step 2: Convert to fraction form
    398,270.02/549,612.39 = 219,422.02/x
  3. Step 3: Cross multiply
    398,270.02x = 549,612.39 × 219,422.02
  4. Step 4: Simplify right side
    398,270.02x = 120,597,060,830.83
  5. Step 5: Solve for x
    x = 120,597,060,830.83/398,270.02
  6. Step 6: Final answer
    x = 302,802.26

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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.