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Finding the Fourth Proportional to 192,000.40, 288,000.60 and 144,307.60

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Solution

The fourth proportional to 192,000.40, 288,000.60 and 144,307.60 is: 216,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.40 : 288,000.60 = 144,307.60 : x
  2. Step 2: Convert to fraction form
    192,000.40/288,000.60 = 144,307.60/x
  3. Step 3: Cross multiply
    192,000.40x = 288,000.60 × 144,307.60
  4. Step 4: Simplify right side
    192,000.40x = 41,560,675,384.56
  5. Step 5: Solve for x
    x = 41,560,675,384.56/192,000.40
  6. Step 6: Final answer
    x = 216,461.40

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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.