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Finding the Fourth Proportional to 558,309.46, 770,467.48 and 313,260.47

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Solution

The fourth proportional to 558,309.46, 770,467.48 and 313,260.47 is: 432,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,309.46 : 770,467.48 = 313,260.47 : x
  2. Step 2: Convert to fraction form
    558,309.46/770,467.48 = 313,260.47/x
  3. Step 3: Cross multiply
    558,309.46x = 770,467.48 × 313,260.47
  4. Step 4: Simplify right side
    558,309.46x = 241,357,003,158.28
  5. Step 5: Solve for x
    x = 241,357,003,158.28/558,309.46
  6. Step 6: Final answer
    x = 432,299.68

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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.