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Finding the Fourth Proportional to 398,513.25, 549,954.05 and 217,225.22

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Solution

The fourth proportional to 398,513.25, 549,954.05 and 217,225.22 is: 299,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,513.25 : 549,954.05 = 217,225.22 : x
  2. Step 2: Convert to fraction form
    398,513.25/549,954.05 = 217,225.22/x
  3. Step 3: Cross multiply
    398,513.25x = 549,954.05 × 217,225.22
  4. Step 4: Simplify right side
    398,513.25x = 119,463,885,665.25
  5. Step 5: Solve for x
    x = 119,463,885,665.25/398,513.25
  6. Step 6: Final answer
    x = 299,773.94

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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.