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Finding the Fourth Proportional to 345,764, 477,154.32 and 186,788

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Solution

The fourth proportional to 345,764, 477,154.32 and 186,788 is: 257,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,764 : 477,154.32 = 186,788 : x
  2. Step 2: Convert to fraction form
    345,764/477,154.32 = 186,788/x
  3. Step 3: Cross multiply
    345,764x = 477,154.32 × 186,788
  4. Step 4: Simplify right side
    345,764x = 89,126,701,124.16
  5. Step 5: Solve for x
    x = 89,126,701,124.16/345,764
  6. Step 6: Final answer
    x = 257,767.44

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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.