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Finding the Fourth Proportional to 398,523.02, 549,958.17 and 217,234.94

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Solution

The fourth proportional to 398,523.02, 549,958.17 and 217,234.94 is: 299,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,523.02 : 549,958.17 = 217,234.94 : x
  2. Step 2: Convert to fraction form
    398,523.02/549,958.17 = 217,234.94/x
  3. Step 3: Cross multiply
    398,523.02x = 549,958.17 × 217,234.94
  4. Step 4: Simplify right side
    398,523.02x = 119,470,130,062.46
  5. Step 5: Solve for x
    x = 119,470,130,062.46/398,523.02
  6. Step 6: Final answer
    x = 299,782.26

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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.