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Finding the Fourth Proportional to 389,108.70, 583,680.94 and 119,217.51

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Solution

The fourth proportional to 389,108.70, 583,680.94 and 119,217.51 is: 178,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,108.70 : 583,680.94 = 119,217.51 : x
  2. Step 2: Convert to fraction form
    389,108.70/583,680.94 = 119,217.51/x
  3. Step 3: Cross multiply
    389,108.70x = 583,680.94 × 119,217.51
  4. Step 4: Simplify right side
    389,108.70x = 69,584,988,301.26
  5. Step 5: Solve for x
    x = 69,584,988,301.26/389,108.70
  6. Step 6: Final answer
    x = 178,831.75

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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.