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Finding the Fourth Proportional to 345,631, 476,970.80 and 186,655

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Solution

The fourth proportional to 345,631, 476,970.80 and 186,655 is: 257,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,631 : 476,970.80 = 186,655 : x
  2. Step 2: Convert to fraction form
    345,631/476,970.80 = 186,655/x
  3. Step 3: Cross multiply
    345,631x = 476,970.80 × 186,655
  4. Step 4: Simplify right side
    345,631x = 89,028,984,674
  5. Step 5: Solve for x
    x = 89,028,984,674/345,631
  6. Step 6: Final answer
    x = 257,583.91

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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.