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Finding the Fourth Proportional to 345,717.36, 477,089.28 and 186,741.36

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Solution

The fourth proportional to 345,717.36, 477,089.28 and 186,741.36 is: 257,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,717.36 : 477,089.28 = 186,741.36 : x
  2. Step 2: Convert to fraction form
    345,717.36/477,089.28 = 186,741.36/x
  3. Step 3: Cross multiply
    345,717.36x = 477,089.28 × 186,741.36
  4. Step 4: Simplify right side
    345,717.36x = 89,092,300,988.62
  5. Step 5: Solve for x
    x = 89,092,300,988.62/345,717.36
  6. Step 6: Final answer
    x = 257,702.71

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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.