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Finding the Fourth Proportional to 389,875.28, 584,341.68 and 189,896

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Solution

The fourth proportional to 389,875.28, 584,341.68 and 189,896 is: 284,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,875.28 : 584,341.68 = 189,896 : x
  2. Step 2: Convert to fraction form
    389,875.28/584,341.68 = 189,896/x
  3. Step 3: Cross multiply
    389,875.28x = 584,341.68 × 189,896
  4. Step 4: Simplify right side
    389,875.28x = 110,964,147,665.28
  5. Step 5: Solve for x
    x = 110,964,147,665.28/389,875.28
  6. Step 6: Final answer
    x = 284,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.