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Finding the Fourth Proportional to 398,396.40, 549,771.04 and 217,104.47

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Solution

The fourth proportional to 398,396.40, 549,771.04 and 217,104.47 is: 299,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,396.40 : 549,771.04 = 217,104.47 : x
  2. Step 2: Convert to fraction form
    398,396.40/549,771.04 = 217,104.47/x
  3. Step 3: Cross multiply
    398,396.40x = 549,771.04 × 217,104.47
  4. Step 4: Simplify right side
    398,396.40x = 119,357,750,260.55
  5. Step 5: Solve for x
    x = 119,357,750,260.55/398,396.40
  6. Step 6: Final answer
    x = 299,595.45

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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.