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Finding the Fourth Proportional to 398,509.34, 549,926.33 and 217,217.27

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Solution

The fourth proportional to 398,509.34, 549,926.33 and 217,217.27 is: 299,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,509.34 : 549,926.33 = 217,217.27 : x
  2. Step 2: Convert to fraction form
    398,509.34/549,926.33 = 217,217.27/x
  3. Step 3: Cross multiply
    398,509.34x = 549,926.33 × 217,217.27
  4. Step 4: Simplify right side
    398,509.34x = 119,453,492,268.00
  5. Step 5: Solve for x
    x = 119,453,492,268.00/398,509.34
  6. Step 6: Final answer
    x = 299,750.80

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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.