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Finding the Fourth Proportional to 205,005.60, 307,738.80 and 158,464.80

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Solution

The fourth proportional to 205,005.60, 307,738.80 and 158,464.80 is: 237,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,005.60 : 307,738.80 = 158,464.80 : x
  2. Step 2: Convert to fraction form
    205,005.60/307,738.80 = 158,464.80/x
  3. Step 3: Cross multiply
    205,005.60x = 307,738.80 × 158,464.80
  4. Step 4: Simplify right side
    205,005.60x = 48,765,767,394.24
  5. Step 5: Solve for x
    x = 48,765,767,394.24/205,005.60
  6. Step 6: Final answer
    x = 237,875.29

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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.