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Finding the Fourth Proportional to 298,283.16, 447,206.04 and 140,425.50

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Solution

The fourth proportional to 298,283.16, 447,206.04 and 140,425.50 is: 210,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,283.16 : 447,206.04 = 140,425.50 : x
  2. Step 2: Convert to fraction form
    298,283.16/447,206.04 = 140,425.50/x
  3. Step 3: Cross multiply
    298,283.16x = 447,206.04 × 140,425.50
  4. Step 4: Simplify right side
    298,283.16x = 62,799,131,770.02
  5. Step 5: Solve for x
    x = 62,799,131,770.02/298,283.16
  6. Step 6: Final answer
    x = 210,535.29

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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.