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Finding the Fourth Proportional to 380,146, 524,593.36 and 208,063.92

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Solution

The fourth proportional to 380,146, 524,593.36 and 208,063.92 is: 287,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,146 : 524,593.36 = 208,063.92 : x
  2. Step 2: Convert to fraction form
    380,146/524,593.36 = 208,063.92/x
  3. Step 3: Cross multiply
    380,146x = 524,593.36 × 208,063.92
  4. Step 4: Simplify right side
    380,146x = 109,148,950,887.57
  5. Step 5: Solve for x
    x = 109,148,950,887.57/380,146
  6. Step 6: Final answer
    x = 287,123.77

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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.