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Finding the Fourth Proportional to 384,412.86, 530,459.37 and 223,241.58

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Solution

The fourth proportional to 384,412.86, 530,459.37 and 223,241.58 is: 308,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,412.86 : 530,459.37 = 223,241.58 : x
  2. Step 2: Convert to fraction form
    384,412.86/530,459.37 = 223,241.58/x
  3. Step 3: Cross multiply
    384,412.86x = 530,459.37 × 223,241.58
  4. Step 4: Simplify right side
    384,412.86x = 118,420,587,884.61
  5. Step 5: Solve for x
    x = 118,420,587,884.61/384,412.86
  6. Step 6: Final answer
    x = 308,055.74

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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.