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Finding the Fourth Proportional to 418,459.40, 577,711.32 and 320,157.86

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Solution

The fourth proportional to 418,459.40, 577,711.32 and 320,157.86 is: 441,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,459.40 : 577,711.32 = 320,157.86 : x
  2. Step 2: Convert to fraction form
    418,459.40/577,711.32 = 320,157.86/x
  3. Step 3: Cross multiply
    418,459.40x = 577,711.32 × 320,157.86
  4. Step 4: Simplify right side
    418,459.40x = 184,958,819,908.98
  5. Step 5: Solve for x
    x = 184,958,819,908.98/418,459.40
  6. Step 6: Final answer
    x = 441,999.44

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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.