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Finding the Fourth Proportional to 558,221, 770,321.64 and 316,519.96

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Solution

The fourth proportional to 558,221, 770,321.64 and 316,519.96 is: 436,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,221 : 770,321.64 = 316,519.96 : x
  2. Step 2: Convert to fraction form
    558,221/770,321.64 = 316,519.96/x
  3. Step 3: Cross multiply
    558,221x = 770,321.64 × 316,519.96
  4. Step 4: Simplify right side
    558,221x = 243,822,174,679.93
  5. Step 5: Solve for x
    x = 243,822,174,679.93/558,221
  6. Step 6: Final answer
    x = 436,784.31

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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.