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Finding the Fourth Proportional to 389,600, 583,957.08 and 164,820.32

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Solution

The fourth proportional to 389,600, 583,957.08 and 164,820.32 is: 247,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,600 : 583,957.08 = 164,820.32 : x
  2. Step 2: Convert to fraction form
    389,600/583,957.08 = 164,820.32/x
  3. Step 3: Cross multiply
    389,600x = 583,957.08 × 164,820.32
  4. Step 4: Simplify right side
    389,600x = 96,247,992,791.87
  5. Step 5: Solve for x
    x = 96,247,992,791.87/389,600
  6. Step 6: Final answer
    x = 247,043.10

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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.