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Finding the Fourth Proportional to 398,459.86, 549,858.50 and 217,167.89

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Solution

The fourth proportional to 398,459.86, 549,858.50 and 217,167.89 is: 299,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,459.86 : 549,858.50 = 217,167.89 : x
  2. Step 2: Convert to fraction form
    398,459.86/549,858.50 = 217,167.89/x
  3. Step 3: Cross multiply
    398,459.86x = 549,858.50 × 217,167.89
  4. Step 4: Simplify right side
    398,459.86x = 119,411,607,833.60
  5. Step 5: Solve for x
    x = 119,411,607,833.60/398,459.86
  6. Step 6: Final answer
    x = 299,682.91

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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.