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Finding the Fourth Proportional to 345,742, 477,123.96 and 186,766

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Solution

The fourth proportional to 345,742, 477,123.96 and 186,766 is: 257,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,742 : 477,123.96 = 186,766 : x
  2. Step 2: Convert to fraction form
    345,742/477,123.96 = 186,766/x
  3. Step 3: Cross multiply
    345,742x = 477,123.96 × 186,766
  4. Step 4: Simplify right side
    345,742x = 89,110,533,513.36
  5. Step 5: Solve for x
    x = 89,110,533,513.36/345,742
  6. Step 6: Final answer
    x = 257,737.08

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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.