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Finding the Fourth Proportional to 298,657.80, 447,986.70 and 88,292.70

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Solution

The fourth proportional to 298,657.80, 447,986.70 and 88,292.70 is: 132,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,657.80 : 447,986.70 = 88,292.70 : x
  2. Step 2: Convert to fraction form
    298,657.80/447,986.70 = 88,292.70/x
  3. Step 3: Cross multiply
    298,657.80x = 447,986.70 × 88,292.70
  4. Step 4: Simplify right side
    298,657.80x = 39,553,955,307.09
  5. Step 5: Solve for x
    x = 39,553,955,307.09/298,657.80
  6. Step 6: Final answer
    x = 132,439.05

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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.