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Finding the Fourth Proportional to 228,596.80, 342,895.20 and 149,281.60

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Solution

The fourth proportional to 228,596.80, 342,895.20 and 149,281.60 is: 223,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,596.80 : 342,895.20 = 149,281.60 : x
  2. Step 2: Convert to fraction form
    228,596.80/342,895.20 = 149,281.60/x
  3. Step 3: Cross multiply
    228,596.80x = 342,895.20 × 149,281.60
  4. Step 4: Simplify right side
    228,596.80x = 51,187,944,088.32
  5. Step 5: Solve for x
    x = 51,187,944,088.32/228,596.80
  6. Step 6: Final answer
    x = 223,922.40

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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.