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Finding the Fourth Proportional to 345,955.74, 477,418.71 and 186,979.74

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Solution

The fourth proportional to 345,955.74, 477,418.71 and 186,979.74 is: 258,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,955.74 : 477,418.71 = 186,979.74 : x
  2. Step 2: Convert to fraction form
    345,955.74/477,418.71 = 186,979.74/x
  3. Step 3: Cross multiply
    345,955.74x = 477,418.71 × 186,979.74
  4. Step 4: Simplify right side
    345,955.74x = 89,267,626,266.94
  5. Step 5: Solve for x
    x = 89,267,626,266.94/345,955.74
  6. Step 6: Final answer
    x = 258,031.93

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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.