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Finding the Fourth Proportional to 205,211.96, 308,284.98 and 148,460.90

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Solution

The fourth proportional to 205,211.96, 308,284.98 and 148,460.90 is: 223,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,211.96 : 308,284.98 = 148,460.90 : x
  2. Step 2: Convert to fraction form
    205,211.96/308,284.98 = 148,460.90/x
  3. Step 3: Cross multiply
    205,211.96x = 308,284.98 × 148,460.90
  4. Step 4: Simplify right side
    205,211.96x = 45,768,265,587.28
  5. Step 5: Solve for x
    x = 45,768,265,587.28/205,211.96
  6. Step 6: Final answer
    x = 223,029.23

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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.