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Finding the Fourth Proportional to 397,851, 549,034.40 and 219,003

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Solution

The fourth proportional to 397,851, 549,034.40 and 219,003 is: 302,224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,851 : 549,034.40 = 219,003 : x
  2. Step 2: Convert to fraction form
    397,851/549,034.40 = 219,003/x
  3. Step 3: Cross multiply
    397,851x = 549,034.40 × 219,003
  4. Step 4: Simplify right side
    397,851x = 120,240,180,703.20
  5. Step 5: Solve for x
    x = 120,240,180,703.20/397,851
  6. Step 6: Final answer
    x = 302,224.15

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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.