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Finding the Fourth Proportional to 205,408.30, 307,594.05 and 163,936.30

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Solution

The fourth proportional to 205,408.30, 307,594.05 and 163,936.30 is: 245,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.30 : 307,594.05 = 163,936.30 : x
  2. Step 2: Convert to fraction form
    205,408.30/307,594.05 = 163,936.30/x
  3. Step 3: Cross multiply
    205,408.30x = 307,594.05 × 163,936.30
  4. Step 4: Simplify right side
    205,408.30x = 50,425,830,459.02
  5. Step 5: Solve for x
    x = 50,425,830,459.02/205,408.30
  6. Step 6: Final answer
    x = 245,490.72

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1.5x scale

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.