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Finding the Fourth Proportional to 389,601.92, 584,357.51 and 105,278.96

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Solution

The fourth proportional to 389,601.92, 584,357.51 and 105,278.96 is: 157,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,601.92 : 584,357.51 = 105,278.96 : x
  2. Step 2: Convert to fraction form
    389,601.92/584,357.51 = 105,278.96/x
  3. Step 3: Cross multiply
    389,601.92x = 584,357.51 × 105,278.96
  4. Step 4: Simplify right side
    389,601.92x = 61,520,547,472.81
  5. Step 5: Solve for x
    x = 61,520,547,472.81/389,601.92
  6. Step 6: Final answer
    x = 157,906.17

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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.