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Finding the Fourth Proportional to 418,456.40, 577,707.19 and 320,154.86

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Solution

The fourth proportional to 418,456.40, 577,707.19 and 320,154.86 is: 441,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,456.40 : 577,707.19 = 320,154.86 : x
  2. Step 2: Convert to fraction form
    418,456.40/577,707.19 = 320,154.86/x
  3. Step 3: Cross multiply
    418,456.40x = 577,707.19 × 320,154.86
  4. Step 4: Simplify right side
    418,456.40x = 184,955,765,179.32
  5. Step 5: Solve for x
    x = 184,955,765,179.32/418,456.40
  6. Step 6: Final answer
    x = 441,995.31

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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.