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Finding the Fourth Proportional to 313,388.88, 469,043.80 and 285,373.68

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Solution

The fourth proportional to 313,388.88, 469,043.80 and 285,373.68 is: 427,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,388.88 : 469,043.80 = 285,373.68 : x
  2. Step 2: Convert to fraction form
    313,388.88/469,043.80 = 285,373.68/x
  3. Step 3: Cross multiply
    313,388.88x = 469,043.80 × 285,373.68
  4. Step 4: Simplify right side
    313,388.88x = 133,852,755,287.18
  5. Step 5: Solve for x
    x = 133,852,755,287.18/313,388.88
  6. Step 6: Final answer
    x = 427,113.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.